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Finding the Third Proportional to 45,712,824 and 97,625,250

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Solution

The third proportional to 45,712,824 and 97,625,250 is: 208,490,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712,824 : 97,625,250 = 97,625,250 : x
  2. Step 2: Convert to fraction form
    45,712,824/97,625,250 = 97,625,250/x
  3. Step 3: Cross multiply
    45,712,824x = 97,625,250 × 97,625,250
  4. Step 4: Simplify right side
    45,712,824x = 9,530,689,437,562,500
  5. Step 5: Solve for x
    x = 9,530,689,437,562,500/45,712,824
  6. Step 6: Final answer
    x = 208,490,497.93

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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.