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Finding the Third Proportional to 102,583,058 and 216,612,388

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Solution

The third proportional to 102,583,058 and 216,612,388 is: 457,394,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,583,058 : 216,612,388 = 216,612,388 : x
  2. Step 2: Convert to fraction form
    102,583,058/216,612,388 = 216,612,388/x
  3. Step 3: Cross multiply
    102,583,058x = 216,612,388 × 216,612,388
  4. Step 4: Simplify right side
    102,583,058x = 46,920,926,635,062,544
  5. Step 5: Solve for x
    x = 46,920,926,635,062,544/102,583,058
  6. Step 6: Final answer
    x = 457,394,501.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.