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Finding the Third Proportional to 104,282,597 and 157,765,823

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Solution

The third proportional to 104,282,597 and 157,765,823 is: 238,678,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,282,597 : 157,765,823 = 157,765,823 : x
  2. Step 2: Convert to fraction form
    104,282,597/157,765,823 = 157,765,823/x
  3. Step 3: Cross multiply
    104,282,597x = 157,765,823 × 157,765,823
  4. Step 4: Simplify right side
    104,282,597x = 24,890,054,906,867,328
  5. Step 5: Solve for x
    x = 24,890,054,906,867,328/104,282,597
  6. Step 6: Final answer
    x = 238,678,893.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.