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Finding the Third Proportional to 45,712,912.50 and 97,625,421

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Solution

The third proportional to 45,712,912.50 and 97,625,421 is: 208,490,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712,912.50 : 97,625,421 = 97,625,421 : x
  2. Step 2: Convert to fraction form
    45,712,912.50/97,625,421 = 97,625,421/x
  3. Step 3: Cross multiply
    45,712,912.50x = 97,625,421 × 97,625,421
  4. Step 4: Simplify right side
    45,712,912.50x = 9,530,722,825,427,240
  5. Step 5: Solve for x
    x = 9,530,722,825,427,240/45,712,912.50
  6. Step 6: Final answer
    x = 208,490,824.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.