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Finding the Third Proportional to 100,878,422.63 and 164,725,363.13

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Solution

The third proportional to 100,878,422.63 and 164,725,363.13 is: 268,981,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,878,422.63 : 164,725,363.13 = 164,725,363.13 : x
  2. Step 2: Convert to fraction form
    100,878,422.63/164,725,363.13 = 164,725,363.13/x
  3. Step 3: Cross multiply
    100,878,422.63x = 164,725,363.13 × 164,725,363.13
  4. Step 4: Simplify right side
    100,878,422.63x = 27,134,445,256,663,108
  5. Step 5: Solve for x
    x = 27,134,445,256,663,108/100,878,422.63
  6. Step 6: Final answer
    x = 268,981,656.84

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.