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Finding the Third Proportional to 132,955,313 and 204,235,640

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Solution

The third proportional to 132,955,313 and 204,235,640 is: 313,730,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,955,313 : 204,235,640 = 204,235,640 : x
  2. Step 2: Convert to fraction form
    132,955,313/204,235,640 = 204,235,640/x
  3. Step 3: Cross multiply
    132,955,313x = 204,235,640 × 204,235,640
  4. Step 4: Simplify right side
    132,955,313x = 41,712,196,646,209,600
  5. Step 5: Solve for x
    x = 41,712,196,646,209,600/132,955,313
  6. Step 6: Final answer
    x = 313,730,949.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.