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Finding the Third Proportional to 115,732,707 and 176,312,292

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Solution

The third proportional to 115,732,707 and 176,312,292 is: 268,601,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,732,707 : 176,312,292 = 176,312,292 : x
  2. Step 2: Convert to fraction form
    115,732,707/176,312,292 = 176,312,292/x
  3. Step 3: Cross multiply
    115,732,707x = 176,312,292 × 176,312,292
  4. Step 4: Simplify right side
    115,732,707x = 31,086,024,310,293,264
  5. Step 5: Solve for x
    x = 31,086,024,310,293,264/115,732,707
  6. Step 6: Final answer
    x = 268,601,894.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.