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Finding the Third Proportional to 292,649,823 and 398,606,966

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Solution

The third proportional to 292,649,823 and 398,606,966 is: 542,927,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,649,823 : 398,606,966 = 398,606,966 : x
  2. Step 2: Convert to fraction form
    292,649,823/398,606,966 = 398,606,966/x
  3. Step 3: Cross multiply
    292,649,823x = 398,606,966 × 398,606,966
  4. Step 4: Simplify right side
    292,649,823x = 158,887,513,343,725,152
  5. Step 5: Solve for x
    x = 158,887,513,343,725,152/292,649,823
  6. Step 6: Final answer
    x = 542,927,078.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.