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Finding the Third Proportional to 119,652,866 and 260,270,151

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Solution

The third proportional to 119,652,866 and 260,270,151 is: 566,142,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652,866 : 260,270,151 = 260,270,151 : x
  2. Step 2: Convert to fraction form
    119,652,866/260,270,151 = 260,270,151/x
  3. Step 3: Cross multiply
    119,652,866x = 260,270,151 × 260,270,151
  4. Step 4: Simplify right side
    119,652,866x = 67,740,551,501,562,800
  5. Step 5: Solve for x
    x = 67,740,551,501,562,800/119,652,866
  6. Step 6: Final answer
    x = 566,142,322.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.