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Finding the Third Proportional to 194,852,934 and 424,007,802

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Solution

The third proportional to 194,852,934 and 424,007,802 is: 922,657,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,852,934 : 424,007,802 = 424,007,802 : x
  2. Step 2: Convert to fraction form
    194,852,934/424,007,802 = 424,007,802/x
  3. Step 3: Cross multiply
    194,852,934x = 424,007,802 × 424,007,802
  4. Step 4: Simplify right side
    194,852,934x = 179,782,616,156,871,200
  5. Step 5: Solve for x
    x = 179,782,616,156,871,200/194,852,934
  6. Step 6: Final answer
    x = 922,657,988.60

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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.