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Finding the Third Proportional to 102,328,704 and 157,445,340

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Solution

The third proportional to 102,328,704 and 157,445,340 is: 242,249,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,328,704 : 157,445,340 = 157,445,340 : x
  2. Step 2: Convert to fraction form
    102,328,704/157,445,340 = 157,445,340/x
  3. Step 3: Cross multiply
    102,328,704x = 157,445,340 × 157,445,340
  4. Step 4: Simplify right side
    102,328,704x = 24,789,035,087,715,600
  5. Step 5: Solve for x
    x = 24,789,035,087,715,600/102,328,704
  6. Step 6: Final answer
    x = 242,249,086.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.