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Finding the Third Proportional to 140,985,775.13 and 215,531,242.03

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Solution

The third proportional to 140,985,775.13 and 215,531,242.03 is: 329,492,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,985,775.13 : 215,531,242.03 = 215,531,242.03 : x
  2. Step 2: Convert to fraction form
    140,985,775.13/215,531,242.03 = 215,531,242.03/x
  3. Step 3: Cross multiply
    140,985,775.13x = 215,531,242.03 × 215,531,242.03
  4. Step 4: Simplify right side
    140,985,775.13x = 46,453,716,291,533,264
  5. Step 5: Solve for x
    x = 46,453,716,291,533,264/140,985,775.13
  6. Step 6: Final answer
    x = 329,492,221.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.