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Finding the Third Proportional to 161,920,776 and 248,728,044

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Solution

The third proportional to 161,920,776 and 248,728,044 is: 382,073,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,920,776 : 248,728,044 = 248,728,044 : x
  2. Step 2: Convert to fraction form
    161,920,776/248,728,044 = 248,728,044/x
  3. Step 3: Cross multiply
    161,920,776x = 248,728,044 × 248,728,044
  4. Step 4: Simplify right side
    161,920,776x = 61,865,639,872,065,936
  5. Step 5: Solve for x
    x = 61,865,639,872,065,936/161,920,776
  6. Step 6: Final answer
    x = 382,073,513.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.