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Finding the Third Proportional to 159,871,384 and 349,878,604.50

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Solution

The third proportional to 159,871,384 and 349,878,604.50 is: 765,709,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,871,384 : 349,878,604.50 = 349,878,604.50 : x
  2. Step 2: Convert to fraction form
    159,871,384/349,878,604.50 = 349,878,604.50/x
  3. Step 3: Cross multiply
    159,871,384x = 349,878,604.50 × 349,878,604.50
  4. Step 4: Simplify right side
    159,871,384x = 122,415,037,886,867,424
  5. Step 5: Solve for x
    x = 122,415,037,886,867,424/159,871,384
  6. Step 6: Final answer
    x = 765,709,502.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.