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Finding the Third Proportional to 214,871,409 and 460,374,382

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Solution

The third proportional to 214,871,409 and 460,374,382 is: 986,378,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,871,409 : 460,374,382 = 460,374,382 : x
  2. Step 2: Convert to fraction form
    214,871,409/460,374,382 = 460,374,382/x
  3. Step 3: Cross multiply
    214,871,409x = 460,374,382 × 460,374,382
  4. Step 4: Simplify right side
    214,871,409x = 211,944,571,601,881,920
  5. Step 5: Solve for x
    x = 211,944,571,601,881,920/214,871,409
  6. Step 6: Final answer
    x = 986,378,655.91

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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.