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Finding the Third Proportional to 77,897,710.13 and 168,722,025.47

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Solution

The third proportional to 77,897,710.13 and 168,722,025.47 is: 365,442,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,897,710.13 : 168,722,025.47 = 168,722,025.47 : x
  2. Step 2: Convert to fraction form
    77,897,710.13/168,722,025.47 = 168,722,025.47/x
  3. Step 3: Cross multiply
    77,897,710.13x = 168,722,025.47 × 168,722,025.47
  4. Step 4: Simplify right side
    77,897,710.13x = 28,467,121,878,277,524
  5. Step 5: Solve for x
    x = 28,467,121,878,277,524/77,897,710.13
  6. Step 6: Final answer
    x = 365,442,345.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.