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Finding the Third Proportional to 65,908,032 and 143,532,960

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Solution

The third proportional to 65,908,032 and 143,532,960 is: 312,582,700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,908,032 : 143,532,960 = 143,532,960 : x
  2. Step 2: Convert to fraction form
    65,908,032/143,532,960 = 143,532,960/x
  3. Step 3: Cross multiply
    65,908,032x = 143,532,960 × 143,532,960
  4. Step 4: Simplify right side
    65,908,032x = 20,601,710,606,361,600
  5. Step 5: Solve for x
    x = 20,601,710,606,361,600/65,908,032
  6. Step 6: Final answer
    x = 312,582,700.18

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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.