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Finding the Third Proportional to 74,351,205 and 161,930,466

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Solution

The third proportional to 74,351,205 and 161,930,466 is: 352,670,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,351,205 : 161,930,466 = 161,930,466 : x
  2. Step 2: Convert to fraction form
    74,351,205/161,930,466 = 161,930,466/x
  3. Step 3: Cross multiply
    74,351,205x = 161,930,466 × 161,930,466
  4. Step 4: Simplify right side
    74,351,205x = 26,221,475,818,977,156
  5. Step 5: Solve for x
    x = 26,221,475,818,977,156/74,351,205
  6. Step 6: Final answer
    x = 352,670,488.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.