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Finding the Third Proportional to 92,454,516 and 200,316,312

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Solution

The third proportional to 92,454,516 and 200,316,312 is: 434,014,763.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,454,516 : 200,316,312 = 200,316,312 : x
  2. Step 2: Convert to fraction form
    92,454,516/200,316,312 = 200,316,312/x
  3. Step 3: Cross multiply
    92,454,516x = 200,316,312 × 200,316,312
  4. Step 4: Simplify right side
    92,454,516x = 40,126,624,853,281,344
  5. Step 5: Solve for x
    x = 40,126,624,853,281,344/92,454,516
  6. Step 6: Final answer
    x = 434,014,763.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.