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Finding the Third Proportional to 214,293,200 and 465,118,048

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Solution

The third proportional to 214,293,200 and 465,118,048 is: 1,009,527,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,293,200 : 465,118,048 = 465,118,048 : x
  2. Step 2: Convert to fraction form
    214,293,200/465,118,048 = 465,118,048/x
  3. Step 3: Cross multiply
    214,293,200x = 465,118,048 × 465,118,048
  4. Step 4: Simplify right side
    214,293,200x = 216,334,798,575,330,304
  5. Step 5: Solve for x
    x = 216,334,798,575,330,304/214,293,200
  6. Step 6: Final answer
    x = 1,009,527,127.20

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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.