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Finding the Third Proportional to 214,871,416 and 460,374,396

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Solution

The third proportional to 214,871,416 and 460,374,396 is: 986,378,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,871,416 : 460,374,396 = 460,374,396 : x
  2. Step 2: Convert to fraction form
    214,871,416/460,374,396 = 460,374,396/x
  3. Step 3: Cross multiply
    214,871,416x = 460,374,396 × 460,374,396
  4. Step 4: Simplify right side
    214,871,416x = 211,944,584,492,364,800
  5. Step 5: Solve for x
    x = 211,944,584,492,364,800/214,871,416
  6. Step 6: Final answer
    x = 986,378,683.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.