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Finding the Third Proportional to 148,689,466 and 322,086,534

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Solution

The third proportional to 148,689,466 and 322,086,534 is: 697,693,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,689,466 : 322,086,534 = 322,086,534 : x
  2. Step 2: Convert to fraction form
    148,689,466/322,086,534 = 322,086,534/x
  3. Step 3: Cross multiply
    148,689,466x = 322,086,534 × 322,086,534
  4. Step 4: Simplify right side
    148,689,466x = 103,739,735,384,133,152
  5. Step 5: Solve for x
    x = 103,739,735,384,133,152/148,689,466
  6. Step 6: Final answer
    x = 697,693,913.19

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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.