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Finding the Third Proportional to 113,207,640.75 and 242,560,262.25

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Solution

The third proportional to 113,207,640.75 and 242,560,262.25 is: 519,712,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,207,640.75 : 242,560,262.25 = 242,560,262.25 : x
  2. Step 2: Convert to fraction form
    113,207,640.75/242,560,262.25 = 242,560,262.25/x
  3. Step 3: Cross multiply
    113,207,640.75x = 242,560,262.25 × 242,560,262.25
  4. Step 4: Simplify right side
    113,207,640.75x = 58,835,480,822,788,776
  5. Step 5: Solve for x
    x = 58,835,480,822,788,776/113,207,640.75
  6. Step 6: Final answer
    x = 519,712,984.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.