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Finding the Third Proportional to 167,965,746.75 and 240,191,308.13

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Solution

The third proportional to 167,965,746.75 and 240,191,308.13 is: 343,473,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,965,746.75 : 240,191,308.13 = 240,191,308.13 : x
  2. Step 2: Convert to fraction form
    167,965,746.75/240,191,308.13 = 240,191,308.13/x
  3. Step 3: Cross multiply
    167,965,746.75x = 240,191,308.13 × 240,191,308.13
  4. Step 4: Simplify right side
    167,965,746.75x = 57,691,864,498,798,688
  5. Step 5: Solve for x
    x = 57,691,864,498,798,688/167,965,746.75
  6. Step 6: Final answer
    x = 343,473,985.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.