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Finding the Third Proportional to 91,302,114 and 185,792,814

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Solution

The third proportional to 91,302,114 and 185,792,814 is: 378,074,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,302,114 : 185,792,814 = 185,792,814 : x
  2. Step 2: Convert to fraction form
    91,302,114/185,792,814 = 185,792,814/x
  3. Step 3: Cross multiply
    91,302,114x = 185,792,814 × 185,792,814
  4. Step 4: Simplify right side
    91,302,114x = 34,518,969,734,038,596
  5. Step 5: Solve for x
    x = 34,518,969,734,038,596/91,302,114
  6. Step 6: Final answer
    x = 378,074,156.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.