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Finding the Third Proportional to 143,462,833 and 306,871,105

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Solution

The third proportional to 143,462,833 and 306,871,105 is: 656,406,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,462,833 : 306,871,105 = 306,871,105 : x
  2. Step 2: Convert to fraction form
    143,462,833/306,871,105 = 306,871,105/x
  3. Step 3: Cross multiply
    143,462,833x = 306,871,105 × 306,871,105
  4. Step 4: Simplify right side
    143,462,833x = 94,169,875,083,921,024
  5. Step 5: Solve for x
    x = 94,169,875,083,921,024/143,462,833
  6. Step 6: Final answer
    x = 656,406,074.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.