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Finding the Third Proportional to 182,093,430.16 and 400,507,531.17

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Solution

The third proportional to 182,093,430.16 and 400,507,531.17 is: 880,900,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,093,430.16 : 400,507,531.17 = 400,507,531.17 : x
  2. Step 2: Convert to fraction form
    182,093,430.16/400,507,531.17 = 400,507,531.17/x
  3. Step 3: Cross multiply
    182,093,430.16x = 400,507,531.17 × 400,507,531.17
  4. Step 4: Simplify right side
    182,093,430.16x = 160,406,282,525,394,432
  5. Step 5: Solve for x
    x = 160,406,282,525,394,432/182,093,430.16
  6. Step 6: Final answer
    x = 880,900,987.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.