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Finding the Third Proportional to 97,079,220 and 208,566,381

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Solution

The third proportional to 97,079,220 and 208,566,381 is: 448,086,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,079,220 : 208,566,381 = 208,566,381 : x
  2. Step 2: Convert to fraction form
    97,079,220/208,566,381 = 208,566,381/x
  3. Step 3: Cross multiply
    97,079,220x = 208,566,381 × 208,566,381
  4. Step 4: Simplify right side
    97,079,220x = 43,499,935,283,437,160
  5. Step 5: Solve for x
    x = 43,499,935,283,437,160/97,079,220
  6. Step 6: Final answer
    x = 448,086,987.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.