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Finding the Third Proportional to 199,988.63 and 435,925.88

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Solution

The third proportional to 199,988.63 and 435,925.88 is: 950,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,988.63 : 435,925.88 = 435,925.88 : x
  2. Step 2: Convert to fraction form
    199,988.63/435,925.88 = 435,925.88/x
  3. Step 3: Cross multiply
    199,988.63x = 435,925.88 × 435,925.88
  4. Step 4: Simplify right side
    199,988.63x = 190,031,368,494.52
  5. Step 5: Solve for x
    x = 190,031,368,494.52/199,988.63
  6. Step 6: Final answer
    x = 950,210.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.