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Finding the Third Proportional to 102,678,462 and 242,142,180

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Solution

The third proportional to 102,678,462 and 242,142,180 is: 571,033,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,678,462 : 242,142,180 = 242,142,180 : x
  2. Step 2: Convert to fraction form
    102,678,462/242,142,180 = 242,142,180/x
  3. Step 3: Cross multiply
    102,678,462x = 242,142,180 × 242,142,180
  4. Step 4: Simplify right side
    102,678,462x = 58,632,835,335,152,400
  5. Step 5: Solve for x
    x = 58,632,835,335,152,400/102,678,462
  6. Step 6: Final answer
    x = 571,033,439.66

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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.