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Finding the Third Proportional to 102,465,487 and 157,398,209.50

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Solution

The third proportional to 102,465,487 and 157,398,209.50 is: 241,780,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,465,487 : 157,398,209.50 = 157,398,209.50 : x
  2. Step 2: Convert to fraction form
    102,465,487/157,398,209.50 = 157,398,209.50/x
  3. Step 3: Cross multiply
    102,465,487x = 157,398,209.50 × 157,398,209.50
  4. Step 4: Simplify right side
    102,465,487x = 24,774,196,353,805,892
  5. Step 5: Solve for x
    x = 24,774,196,353,805,892/102,465,487
  6. Step 6: Final answer
    x = 241,780,887.20

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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.