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Finding the Third Proportional to 185,036,880 and 411,434,061.50

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Solution

The third proportional to 185,036,880 and 411,434,061.50 is: 914,833,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,036,880 : 411,434,061.50 = 411,434,061.50 : x
  2. Step 2: Convert to fraction form
    185,036,880/411,434,061.50 = 411,434,061.50/x
  3. Step 3: Cross multiply
    185,036,880x = 411,434,061.50 × 411,434,061.50
  4. Step 4: Simplify right side
    185,036,880x = 169,277,986,962,385,792
  5. Step 5: Solve for x
    x = 169,277,986,962,385,792/185,036,880
  6. Step 6: Final answer
    x = 914,833,772.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.