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Finding the Third Proportional to 71,176,806 and 113,929,215

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Solution

The third proportional to 71,176,806 and 113,929,215 is: 182,360,894.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,176,806 : 113,929,215 = 113,929,215 : x
  2. Step 2: Convert to fraction form
    71,176,806/113,929,215 = 113,929,215/x
  3. Step 3: Cross multiply
    71,176,806x = 113,929,215 × 113,929,215
  4. Step 4: Simplify right side
    71,176,806x = 12,979,866,030,516,224
  5. Step 5: Solve for x
    x = 12,979,866,030,516,224/71,176,806
  6. Step 6: Final answer
    x = 182,360,894.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.