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Finding the Third Proportional to 255,871,119 and 374,210,478

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Solution

The third proportional to 255,871,119 and 374,210,478 is: 547,281,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,871,119 : 374,210,478 = 374,210,478 : x
  2. Step 2: Convert to fraction form
    255,871,119/374,210,478 = 374,210,478/x
  3. Step 3: Cross multiply
    255,871,119x = 374,210,478 × 374,210,478
  4. Step 4: Simplify right side
    255,871,119x = 140,033,481,844,988,480
  5. Step 5: Solve for x
    x = 140,033,481,844,988,480/255,871,119
  6. Step 6: Final answer
    x = 547,281,312.53

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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.