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Finding the Third Proportional to 163,767,042 and 350,208,900

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Solution

The third proportional to 163,767,042 and 350,208,900 is: 748,906,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,767,042 : 350,208,900 = 350,208,900 : x
  2. Step 2: Convert to fraction form
    163,767,042/350,208,900 = 350,208,900/x
  3. Step 3: Cross multiply
    163,767,042x = 350,208,900 × 350,208,900
  4. Step 4: Simplify right side
    163,767,042x = 122,646,273,639,210,000
  5. Step 5: Solve for x
    x = 122,646,273,639,210,000/163,767,042
  6. Step 6: Final answer
    x = 748,906,935.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.