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Finding the Third Proportional to 214,293,738 and 465,119,124

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Solution

The third proportional to 214,293,738 and 465,119,124 is: 1,009,529,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,293,738 : 465,119,124 = 465,119,124 : x
  2. Step 2: Convert to fraction form
    214,293,738/465,119,124 = 465,119,124/x
  3. Step 3: Cross multiply
    214,293,738x = 465,119,124 × 465,119,124
  4. Step 4: Simplify right side
    214,293,738x = 216,335,799,510,527,360
  5. Step 5: Solve for x
    x = 216,335,799,510,527,360/214,293,738
  6. Step 6: Final answer
    x = 1,009,529,263.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.