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Finding the Third Proportional to 148,702,971 and 322,110,294

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Solution

The third proportional to 148,702,971 and 322,110,294 is: 697,733,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702,971 : 322,110,294 = 322,110,294 : x
  2. Step 2: Convert to fraction form
    148,702,971/322,110,294 = 322,110,294/x
  3. Step 3: Cross multiply
    148,702,971x = 322,110,294 × 322,110,294
  4. Step 4: Simplify right side
    148,702,971x = 103,755,041,500,766,432
  5. Step 5: Solve for x
    x = 103,755,041,500,766,432/148,702,971
  6. Step 6: Final answer
    x = 697,733,480.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.