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Finding the Third Proportional to 121,802,490 and 287,441,502

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Solution

The third proportional to 121,802,490 and 287,441,502 is: 678,332,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,802,490 : 287,441,502 = 287,441,502 : x
  2. Step 2: Convert to fraction form
    121,802,490/287,441,502 = 287,441,502/x
  3. Step 3: Cross multiply
    121,802,490x = 287,441,502 × 287,441,502
  4. Step 4: Simplify right side
    121,802,490x = 82,622,617,072,016,000
  5. Step 5: Solve for x
    x = 82,622,617,072,016,000/121,802,490
  6. Step 6: Final answer
    x = 678,332,742.39

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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.