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Finding the Third Proportional to 65,381,002.88 and 143,514,402.75

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Solution

The third proportional to 65,381,002.88 and 143,514,402.75 is: 315,020,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,381,002.88 : 143,514,402.75 = 143,514,402.75 : x
  2. Step 2: Convert to fraction form
    65,381,002.88/143,514,402.75 = 143,514,402.75/x
  3. Step 3: Cross multiply
    65,381,002.88x = 143,514,402.75 × 143,514,402.75
  4. Step 4: Simplify right side
    65,381,002.88x = 20,596,383,796,689,208
  5. Step 5: Solve for x
    x = 20,596,383,796,689,208/65,381,002.88
  6. Step 6: Final answer
    x = 315,020,921.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.