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Finding the Third Proportional to 170,576,109.75 and 243,757,216.13

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Solution

The third proportional to 170,576,109.75 and 243,757,216.13 is: 348,334,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,576,109.75 : 243,757,216.13 = 243,757,216.13 : x
  2. Step 2: Convert to fraction form
    170,576,109.75/243,757,216.13 = 243,757,216.13/x
  3. Step 3: Cross multiply
    170,576,109.75x = 243,757,216.13 × 243,757,216.13
  4. Step 4: Simplify right side
    170,576,109.75x = 59,417,580,413,009,960
  5. Step 5: Solve for x
    x = 59,417,580,413,009,960/170,576,109.75
  6. Step 6: Final answer
    x = 348,334,714.05

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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.