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Finding the Third Proportional to 85,209,205.50 and 186,361,614

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Solution

The third proportional to 85,209,205.50 and 186,361,614 is: 407,592,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,209,205.50 : 186,361,614 = 186,361,614 : x
  2. Step 2: Convert to fraction form
    85,209,205.50/186,361,614 = 186,361,614/x
  3. Step 3: Cross multiply
    85,209,205.50x = 186,361,614 × 186,361,614
  4. Step 4: Simplify right side
    85,209,205.50x = 34,730,651,172,684,996
  5. Step 5: Solve for x
    x = 34,730,651,172,684,996/85,209,205.50
  6. Step 6: Final answer
    x = 407,592,712.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.