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Finding the Third Proportional to 122,006,664 and 185,868,720

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Solution

The third proportional to 122,006,664 and 185,868,720 is: 283,158,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,006,664 : 185,868,720 = 185,868,720 : x
  2. Step 2: Convert to fraction form
    122,006,664/185,868,720 = 185,868,720/x
  3. Step 3: Cross multiply
    122,006,664x = 185,868,720 × 185,868,720
  4. Step 4: Simplify right side
    122,006,664x = 34,547,181,074,438,400
  5. Step 5: Solve for x
    x = 34,547,181,074,438,400/122,006,664
  6. Step 6: Final answer
    x = 283,158,148.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.