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Finding the Third Proportional to 216,390,644 and 335,118,560

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Solution

The third proportional to 216,390,644 and 335,118,560 is: 518,989,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,390,644 : 335,118,560 = 335,118,560 : x
  2. Step 2: Convert to fraction form
    216,390,644/335,118,560 = 335,118,560/x
  3. Step 3: Cross multiply
    216,390,644x = 335,118,560 × 335,118,560
  4. Step 4: Simplify right side
    216,390,644x = 112,304,449,256,473,600
  5. Step 5: Solve for x
    x = 112,304,449,256,473,600/216,390,644
  6. Step 6: Final answer
    x = 518,989,394.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.