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Finding the Third Proportional to 84,912,243 and 185,723,262

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Solution

The third proportional to 84,912,243 and 185,723,262 is: 406,220,926.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,243 : 185,723,262 = 185,723,262 : x
  2. Step 2: Convert to fraction form
    84,912,243/185,723,262 = 185,723,262/x
  3. Step 3: Cross multiply
    84,912,243x = 185,723,262 × 185,723,262
  4. Step 4: Simplify right side
    84,912,243x = 34,493,130,047,920,644
  5. Step 5: Solve for x
    x = 34,493,130,047,920,644/84,912,243
  6. Step 6: Final answer
    x = 406,220,926.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.