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Finding the Third Proportional to 223,126,683 and 482,105,948

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Solution

The third proportional to 223,126,683 and 482,105,948 is: 1,041,677,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,126,683 : 482,105,948 = 482,105,948 : x
  2. Step 2: Convert to fraction form
    223,126,683/482,105,948 = 482,105,948/x
  3. Step 3: Cross multiply
    223,126,683x = 482,105,948 × 482,105,948
  4. Step 4: Simplify right side
    223,126,683x = 232,426,145,096,978,688
  5. Step 5: Solve for x
    x = 232,426,145,096,978,688/223,126,683
  6. Step 6: Final answer
    x = 1,041,677,947.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.