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Finding the Third Proportional to 161,288,946 and 353,930,706

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Solution

The third proportional to 161,288,946 and 353,930,706 is: 776,661,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,288,946 : 353,930,706 = 353,930,706 : x
  2. Step 2: Convert to fraction form
    161,288,946/353,930,706 = 353,930,706/x
  3. Step 3: Cross multiply
    161,288,946x = 353,930,706 × 353,930,706
  4. Step 4: Simplify right side
    161,288,946x = 125,266,944,649,658,432
  5. Step 5: Solve for x
    x = 125,266,944,649,658,432/161,288,946
  6. Step 6: Final answer
    x = 776,661,685.48

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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.