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Finding the Third Proportional to 239,465,406 and 516,308,828.75

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Solution

The third proportional to 239,465,406 and 516,308,828.75 is: 1,113,208,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,465,406 : 516,308,828.75 = 516,308,828.75 : x
  2. Step 2: Convert to fraction form
    239,465,406/516,308,828.75 = 516,308,828.75/x
  3. Step 3: Cross multiply
    239,465,406x = 516,308,828.75 × 516,308,828.75
  4. Step 4: Simplify right side
    239,465,406x = 266,574,806,645,196,832
  5. Step 5: Solve for x
    x = 266,574,806,645,196,832/239,465,406
  6. Step 6: Final answer
    x = 1,113,208,004.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.