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Finding the Third Proportional to 99,127,941.75 and 214,730,827.88

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Solution

The third proportional to 99,127,941.75 and 214,730,827.88 is: 465,149,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,127,941.75 : 214,730,827.88 = 214,730,827.88 : x
  2. Step 2: Convert to fraction form
    99,127,941.75/214,730,827.88 = 214,730,827.88/x
  3. Step 3: Cross multiply
    99,127,941.75x = 214,730,827.88 × 214,730,827.88
  4. Step 4: Simplify right side
    99,127,941.75x = 46,109,328,439,882,880
  5. Step 5: Solve for x
    x = 46,109,328,439,882,880/99,127,941.75
  6. Step 6: Final answer
    x = 465,149,660.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.