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Finding the Third Proportional to 200,429,389.50 and 419,184,730.50

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Solution

The third proportional to 200,429,389.50 and 419,184,730.50 is: 876,696,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429,389.50 : 419,184,730.50 = 419,184,730.50 : x
  2. Step 2: Convert to fraction form
    200,429,389.50/419,184,730.50 = 419,184,730.50/x
  3. Step 3: Cross multiply
    200,429,389.50x = 419,184,730.50 × 419,184,730.50
  4. Step 4: Simplify right side
    200,429,389.50x = 175,715,838,284,357,632
  5. Step 5: Solve for x
    x = 175,715,838,284,357,632/200,429,389.50
  6. Step 6: Final answer
    x = 876,696,969.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.