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Finding the Third Proportional to 102,678,450.75 and 242,142,149.25

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Solution

The third proportional to 102,678,450.75 and 242,142,149.25 is: 571,033,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,678,450.75 : 242,142,149.25 = 242,142,149.25 : x
  2. Step 2: Convert to fraction form
    102,678,450.75/242,142,149.25 = 242,142,149.25/x
  3. Step 3: Cross multiply
    102,678,450.75x = 242,142,149.25 × 242,142,149.25
  4. Step 4: Simplify right side
    102,678,450.75x = 58,632,820,443,409,272
  5. Step 5: Solve for x
    x = 58,632,820,443,409,272/102,678,450.75
  6. Step 6: Final answer
    x = 571,033,357.20

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.