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Finding the Third Proportional to 148,702,924 and 322,110,200

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Solution

The third proportional to 148,702,924 and 322,110,200 is: 697,733,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702,924 : 322,110,200 = 322,110,200 : x
  2. Step 2: Convert to fraction form
    148,702,924/322,110,200 = 322,110,200/x
  3. Step 3: Cross multiply
    148,702,924x = 322,110,200 × 322,110,200
  4. Step 4: Simplify right side
    148,702,924x = 103,754,980,944,040,000
  5. Step 5: Solve for x
    x = 103,754,980,944,040,000/148,702,924
  6. Step 6: Final answer
    x = 697,733,293.69

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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.