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Finding the Third Proportional to 102,328,716 and 157,445,358

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Solution

The third proportional to 102,328,716 and 157,445,358 is: 242,249,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,328,716 : 157,445,358 = 157,445,358 : x
  2. Step 2: Convert to fraction form
    102,328,716/157,445,358 = 157,445,358/x
  3. Step 3: Cross multiply
    102,328,716x = 157,445,358 × 157,445,358
  4. Step 4: Simplify right side
    102,328,716x = 24,789,040,755,748,164
  5. Step 5: Solve for x
    x = 24,789,040,755,748,164/102,328,716
  6. Step 6: Final answer
    x = 242,249,113.69

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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.