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Finding the Third Proportional to 127,168,740 and 273,823,319.25

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Solution

The third proportional to 127,168,740 and 273,823,319.25 is: 589,604,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,168,740 : 273,823,319.25 = 273,823,319.25 : x
  2. Step 2: Convert to fraction form
    127,168,740/273,823,319.25 = 273,823,319.25/x
  3. Step 3: Cross multiply
    127,168,740x = 273,823,319.25 × 273,823,319.25
  4. Step 4: Simplify right side
    127,168,740x = 74,979,210,165,087,424
  5. Step 5: Solve for x
    x = 74,979,210,165,087,424/127,168,740
  6. Step 6: Final answer
    x = 589,604,097.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.