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Finding the Third Proportional to 122,006,417.06 and 185,868,462.38

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Solution

The third proportional to 122,006,417.06 and 185,868,462.38 is: 283,157,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,006,417.06 : 185,868,462.38 = 185,868,462.38 : x
  2. Step 2: Convert to fraction form
    122,006,417.06/185,868,462.38 = 185,868,462.38/x
  3. Step 3: Cross multiply
    122,006,417.06x = 185,868,462.38 × 185,868,462.38
  4. Step 4: Simplify right side
    122,006,417.06x = 34,547,085,305,646,792
  5. Step 5: Solve for x
    x = 34,547,085,305,646,792/122,006,417.06
  6. Step 6: Final answer
    x = 283,157,936.59

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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.