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Finding the Third Proportional to 136,164,707,929 and 297,979,862,050

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Solution

The third proportional to 136,164,707,929 and 297,979,862,050 is: 652,092,598,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,164,707,929 : 297,979,862,050 = 297,979,862,050 : x
  2. Step 2: Convert to fraction form
    136,164,707,929/297,979,862,050 = 297,979,862,050/x
  3. Step 3: Cross multiply
    136,164,707,929x = 297,979,862,050 × 297,979,862,050
  4. Step 4: Simplify right side
    136,164,707,929x = 88,791,998,187,337,030,828,032
  5. Step 5: Solve for x
    x = 88,791,998,187,337,030,828,032/136,164,707,929
  6. Step 6: Final answer
    x = 652,092,598,279.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.