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Finding the Third Proportional to 255,871,121 and 374,210,481

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Solution

The third proportional to 255,871,121 and 374,210,481 is: 547,281,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,871,121 : 374,210,481 = 374,210,481 : x
  2. Step 2: Convert to fraction form
    255,871,121/374,210,481 = 374,210,481/x
  3. Step 3: Cross multiply
    255,871,121x = 374,210,481 × 374,210,481
  4. Step 4: Simplify right side
    255,871,121x = 140,033,484,090,251,360
  5. Step 5: Solve for x
    x = 140,033,484,090,251,360/255,871,121
  6. Step 6: Final answer
    x = 547,281,317.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.