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Finding the Third Proportional to 185,152,527 and 252,186,385.50

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Solution

The third proportional to 185,152,527 and 252,186,385.50 is: 343,489,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,152,527 : 252,186,385.50 = 252,186,385.50 : x
  2. Step 2: Convert to fraction form
    185,152,527/252,186,385.50 = 252,186,385.50/x
  3. Step 3: Cross multiply
    185,152,527x = 252,186,385.50 × 252,186,385.50
  4. Step 4: Simplify right side
    185,152,527x = 63,597,973,031,554,608
  5. Step 5: Solve for x
    x = 63,597,973,031,554,608/185,152,527
  6. Step 6: Final answer
    x = 343,489,630.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.