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Finding the Third Proportional to 86,782,984 and 185,335,532

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Solution

The third proportional to 86,782,984 and 185,335,532 is: 395,806,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,782,984 : 185,335,532 = 185,335,532 : x
  2. Step 2: Convert to fraction form
    86,782,984/185,335,532 = 185,335,532/x
  3. Step 3: Cross multiply
    86,782,984x = 185,335,532 × 185,335,532
  4. Step 4: Simplify right side
    86,782,984x = 34,349,259,421,723,024
  5. Step 5: Solve for x
    x = 34,349,259,421,723,024/86,782,984
  6. Step 6: Final answer
    x = 395,806,387.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.