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Finding the Third Proportional to 102,465,488 and 157,398,211

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Solution

The third proportional to 102,465,488 and 157,398,211 is: 241,780,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,465,488 : 157,398,211 = 157,398,211 : x
  2. Step 2: Convert to fraction form
    102,465,488/157,398,211 = 157,398,211/x
  3. Step 3: Cross multiply
    102,465,488x = 157,398,211 × 157,398,211
  4. Step 4: Simplify right side
    102,465,488x = 24,774,196,826,000,520
  5. Step 5: Solve for x
    x = 24,774,196,826,000,520/102,465,488
  6. Step 6: Final answer
    x = 241,780,889.44

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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.