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Finding the Third Proportional to 214,293,216 and 465,118,080

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Solution

The third proportional to 214,293,216 and 465,118,080 is: 1,009,527,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,293,216 : 465,118,080 = 465,118,080 : x
  2. Step 2: Convert to fraction form
    214,293,216/465,118,080 = 465,118,080/x
  3. Step 3: Cross multiply
    214,293,216x = 465,118,080 × 465,118,080
  4. Step 4: Simplify right side
    214,293,216x = 216,334,828,342,886,400
  5. Step 5: Solve for x
    x = 216,334,828,342,886,400/214,293,216
  6. Step 6: Final answer
    x = 1,009,527,190.74

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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.