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Finding the Third Proportional to 161,923,726.69 and 230,773,978.13

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Solution

The third proportional to 161,923,726.69 and 230,773,978.13 is: 328,899,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,923,726.69 : 230,773,978.13 = 230,773,978.13 : x
  2. Step 2: Convert to fraction form
    161,923,726.69/230,773,978.13 = 230,773,978.13/x
  3. Step 3: Cross multiply
    161,923,726.69x = 230,773,978.13 × 230,773,978.13
  4. Step 4: Simplify right side
    161,923,726.69x = 53,256,628,979,637,976
  5. Step 5: Solve for x
    x = 53,256,628,979,637,976/161,923,726.69
  6. Step 6: Final answer
    x = 328,899,476.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.