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Finding the Third Proportional to 85,499,814 and 183,106,497

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Solution

The third proportional to 85,499,814 and 183,106,497 is: 392,141,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,499,814 : 183,106,497 = 183,106,497 : x
  2. Step 2: Convert to fraction form
    85,499,814/183,106,497 = 183,106,497/x
  3. Step 3: Cross multiply
    85,499,814x = 183,106,497 × 183,106,497
  4. Step 4: Simplify right side
    85,499,814x = 33,527,989,243,611,008
  5. Step 5: Solve for x
    x = 33,527,989,243,611,008/85,499,814
  6. Step 6: Final answer
    x = 392,141,078.15

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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.