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Finding the Third Proportional to 182,693,610 and 431,124,214.50

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Solution

The third proportional to 182,693,610 and 431,124,214.50 is: 1,017,375,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,693,610 : 431,124,214.50 = 431,124,214.50 : x
  2. Step 2: Convert to fraction form
    182,693,610/431,124,214.50 = 431,124,214.50/x
  3. Step 3: Cross multiply
    182,693,610x = 431,124,214.50 × 431,124,214.50
  4. Step 4: Simplify right side
    182,693,610x = 185,868,088,328,242,016
  5. Step 5: Solve for x
    x = 185,868,088,328,242,016/182,693,610
  6. Step 6: Final answer
    x = 1,017,375,968.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.