Home / 120,880,838,149.03-258,742,561,458.11

Finding the Third Proportional to 120,880,838,149.03 and 258,742,561,458.11

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Solution

The third proportional to 120,880,838,149.03 and 258,742,561,458.11 is: 553,832,304,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,880,838,149.03 : 258,742,561,458.11 = 258,742,561,458.11 : x
  2. Step 2: Convert to fraction form
    120,880,838,149.03/258,742,561,458.11 = 258,742,561,458.11/x
  3. Step 3: Cross multiply
    120,880,838,149.03x = 258,742,561,458.11 × 258,742,561,458.11
  4. Step 4: Simplify right side
    120,880,838,149.03x = 66,947,713,109,903,825,436,672
  5. Step 5: Solve for x
    x = 66,947,713,109,903,825,436,672/120,880,838,149.03
  6. Step 6: Final answer
    x = 553,832,304,069.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.