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Finding the Third Proportional to 148,702,850 and 322,110,048

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Solution

The third proportional to 148,702,850 and 322,110,048 is: 697,732,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702,850 : 322,110,048 = 322,110,048 : x
  2. Step 2: Convert to fraction form
    148,702,850/322,110,048 = 322,110,048/x
  3. Step 3: Cross multiply
    148,702,850x = 322,110,048 × 322,110,048
  4. Step 4: Simplify right side
    148,702,850x = 103,754,883,022,562,304
  5. Step 5: Solve for x
    x = 103,754,883,022,562,304/148,702,850
  6. Step 6: Final answer
    x = 697,732,982.40

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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.