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Finding the Third Proportional to 119,886,880.50 and 258,274,732.50

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Solution

The third proportional to 119,886,880.50 and 258,274,732.50 is: 556,406,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,886,880.50 : 258,274,732.50 = 258,274,732.50 : x
  2. Step 2: Convert to fraction form
    119,886,880.50/258,274,732.50 = 258,274,732.50/x
  3. Step 3: Cross multiply
    119,886,880.50x = 258,274,732.50 × 258,274,732.50
  4. Step 4: Simplify right side
    119,886,880.50x = 66,705,837,447,946,560
  5. Step 5: Solve for x
    x = 66,705,837,447,946,560/119,886,880.50
  6. Step 6: Final answer
    x = 556,406,482.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.