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Finding the Third Proportional to 151,834,926,906 and 326,520,488,196

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Solution

The third proportional to 151,834,926,906 and 326,520,488,196 is: 702,181,187,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,834,926,906 : 326,520,488,196 = 326,520,488,196 : x
  2. Step 2: Convert to fraction form
    151,834,926,906/326,520,488,196 = 326,520,488,196/x
  3. Step 3: Cross multiply
    151,834,926,906x = 326,520,488,196 × 326,520,488,196
  4. Step 4: Simplify right side
    151,834,926,906x = 106,615,629,211,754,181,951,488
  5. Step 5: Solve for x
    x = 106,615,629,211,754,181,951,488/151,834,926,906
  6. Step 6: Final answer
    x = 702,181,187,058.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.