Home / 77,140,359.49-164,742,541.03

Finding the Third Proportional to 77,140,359.49 and 164,742,541.03

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Solution

The third proportional to 77,140,359.49 and 164,742,541.03 is: 351,827,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140,359.49 : 164,742,541.03 = 164,742,541.03 : x
  2. Step 2: Convert to fraction form
    77,140,359.49/164,742,541.03 = 164,742,541.03/x
  3. Step 3: Cross multiply
    77,140,359.49x = 164,742,541.03 × 164,742,541.03
  4. Step 4: Simplify right side
    77,140,359.49x = 27,140,104,825,433,088
  5. Step 5: Solve for x
    x = 27,140,104,825,433,088/77,140,359.49
  6. Step 6: Final answer
    x = 351,827,564.77

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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.