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Finding the Third Proportional to 64,736,496 and 138,706,769.25

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Solution

The third proportional to 64,736,496 and 138,706,769.25 is: 297,198,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736,496 : 138,706,769.25 = 138,706,769.25 : x
  2. Step 2: Convert to fraction form
    64,736,496/138,706,769.25 = 138,706,769.25/x
  3. Step 3: Cross multiply
    64,736,496x = 138,706,769.25 × 138,706,769.25
  4. Step 4: Simplify right side
    64,736,496x = 19,239,567,835,772,744
  5. Step 5: Solve for x
    x = 19,239,567,835,772,744/64,736,496
  6. Step 6: Final answer
    x = 297,198,165.25

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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.