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Finding the Third Proportional to 45,712,813.50 and 97,625,227.50

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Solution

The third proportional to 45,712,813.50 and 97,625,227.50 is: 208,490,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712,813.50 : 97,625,227.50 = 97,625,227.50 : x
  2. Step 2: Convert to fraction form
    45,712,813.50/97,625,227.50 = 97,625,227.50/x
  3. Step 3: Cross multiply
    45,712,813.50x = 97,625,227.50 × 97,625,227.50
  4. Step 4: Simplify right side
    45,712,813.50x = 9,530,685,044,426,756
  5. Step 5: Solve for x
    x = 9,530,685,044,426,756/45,712,813.50
  6. Step 6: Final answer
    x = 208,490,449.72

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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.