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Finding the Third Proportional to 149,254,035 and 322,955,814

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Solution

The third proportional to 149,254,035 and 322,955,814 is: 698,811,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,254,035 : 322,955,814 = 322,955,814 : x
  2. Step 2: Convert to fraction form
    149,254,035/322,955,814 = 322,955,814/x
  3. Step 3: Cross multiply
    149,254,035x = 322,955,814 × 322,955,814
  4. Step 4: Simplify right side
    149,254,035x = 104,300,457,796,402,592
  5. Step 5: Solve for x
    x = 104,300,457,796,402,592/149,254,035
  6. Step 6: Final answer
    x = 698,811,645.50

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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.