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Finding the Third Proportional to 97,786,070 and 207,228,796

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Solution

The third proportional to 97,786,070 and 207,228,796 is: 439,160,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786,070 : 207,228,796 = 207,228,796 : x
  2. Step 2: Convert to fraction form
    97,786,070/207,228,796 = 207,228,796/x
  3. Step 3: Cross multiply
    97,786,070x = 207,228,796 × 207,228,796
  4. Step 4: Simplify right side
    97,786,070x = 42,943,773,891,609,616
  5. Step 5: Solve for x
    x = 42,943,773,891,609,616/97,786,070
  6. Step 6: Final answer
    x = 439,160,443.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.