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Finding the Third Proportional to 86,259,154.50 and 185,671,476

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Solution

The third proportional to 86,259,154.50 and 185,671,476 is: 399,654,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,259,154.50 : 185,671,476 = 185,671,476 : x
  2. Step 2: Convert to fraction form
    86,259,154.50/185,671,476 = 185,671,476/x
  3. Step 3: Cross multiply
    86,259,154.50x = 185,671,476 × 185,671,476
  4. Step 4: Simplify right side
    86,259,154.50x = 34,473,897,000,018,576
  5. Step 5: Solve for x
    x = 34,473,897,000,018,576/86,259,154.50
  6. Step 6: Final answer
    x = 399,654,937.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.