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Finding the Third Proportional to 149,254,044 and 322,955,830

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Solution

The third proportional to 149,254,044 and 322,955,830 is: 698,811,672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,254,044 : 322,955,830 = 322,955,830 : x
  2. Step 2: Convert to fraction form
    149,254,044/322,955,830 = 322,955,830/x
  3. Step 3: Cross multiply
    149,254,044x = 322,955,830 × 322,955,830
  4. Step 4: Simplify right side
    149,254,044x = 104,300,468,130,988,896
  5. Step 5: Solve for x
    x = 104,300,468,130,988,896/149,254,044
  6. Step 6: Final answer
    x = 698,811,672.61

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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.