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Finding the Third Proportional to 149,254,042 and 322,955,826

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Solution

The third proportional to 149,254,042 and 322,955,826 is: 698,811,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,254,042 : 322,955,826 = 322,955,826 : x
  2. Step 2: Convert to fraction form
    149,254,042/322,955,826 = 322,955,826/x
  3. Step 3: Cross multiply
    149,254,042x = 322,955,826 × 322,955,826
  4. Step 4: Simplify right side
    149,254,042x = 104,300,465,547,342,272
  5. Step 5: Solve for x
    x = 104,300,465,547,342,272/149,254,042
  6. Step 6: Final answer
    x = 698,811,664.66

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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.