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Finding the Third Proportional to 201,934,990.69 and 442,176,943.50

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Solution

The third proportional to 201,934,990.69 and 442,176,943.50 is: 968,234,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,934,990.69 : 442,176,943.50 = 442,176,943.50 : x
  2. Step 2: Convert to fraction form
    201,934,990.69/442,176,943.50 = 442,176,943.50/x
  3. Step 3: Cross multiply
    201,934,990.69x = 442,176,943.50 × 442,176,943.50
  4. Step 4: Simplify right side
    201,934,990.69x = 195,520,449,363,002,208
  5. Step 5: Solve for x
    x = 195,520,449,363,002,208/201,934,990.69
  6. Step 6: Final answer
    x = 968,234,621.93

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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.