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Finding the Third Proportional to 194,852,963.50 and 424,007,899.50

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Solution

The third proportional to 194,852,963.50 and 424,007,899.50 is: 922,658,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,852,963.50 : 424,007,899.50 = 424,007,899.50 : x
  2. Step 2: Convert to fraction form
    194,852,963.50/424,007,899.50 = 424,007,899.50/x
  3. Step 3: Cross multiply
    194,852,963.50x = 424,007,899.50 × 424,007,899.50
  4. Step 4: Simplify right side
    194,852,963.50x = 179,782,698,838,402,112
  5. Step 5: Solve for x
    x = 179,782,698,838,402,112/194,852,963.50
  6. Step 6: Final answer
    x = 922,658,273.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.