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Finding the Third Proportional to 170,576,105.34 and 243,757,210.78

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Solution

The third proportional to 170,576,105.34 and 243,757,210.78 is: 348,334,707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,576,105.34 : 243,757,210.78 = 243,757,210.78 : x
  2. Step 2: Convert to fraction form
    170,576,105.34/243,757,210.78 = 243,757,210.78/x
  3. Step 3: Cross multiply
    170,576,105.34x = 243,757,210.78 × 243,757,210.78
  4. Step 4: Simplify right side
    170,576,105.34x = 59,417,577,807,854,744
  5. Step 5: Solve for x
    x = 59,417,577,807,854,744/170,576,105.34
  6. Step 6: Final answer
    x = 348,334,707.77

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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.