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Finding the Third Proportional to 214,293,264 and 465,118,164

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Solution

The third proportional to 214,293,264 and 465,118,164 is: 1,009,527,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,293,264 : 465,118,164 = 465,118,164 : x
  2. Step 2: Convert to fraction form
    214,293,264/465,118,164 = 465,118,164/x
  3. Step 3: Cross multiply
    214,293,264x = 465,118,164 × 465,118,164
  4. Step 4: Simplify right side
    214,293,264x = 216,334,906,482,730,880
  5. Step 5: Solve for x
    x = 216,334,906,482,730,880/214,293,264
  6. Step 6: Final answer
    x = 1,009,527,329.25

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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.