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Finding the Third Proportional to 160,438,683 and 351,634,514

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Solution

The third proportional to 160,438,683 and 351,634,514 is: 770,679,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,438,683 : 351,634,514 = 351,634,514 : x
  2. Step 2: Convert to fraction form
    160,438,683/351,634,514 = 351,634,514/x
  3. Step 3: Cross multiply
    160,438,683x = 351,634,514 × 351,634,514
  4. Step 4: Simplify right side
    160,438,683x = 123,646,831,436,016,192
  5. Step 5: Solve for x
    x = 123,646,831,436,016,192/160,438,683
  6. Step 6: Final answer
    x = 770,679,671.04

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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.