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Finding the Third Proportional to 204,953,984 and 442,566,436

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Solution

The third proportional to 204,953,984 and 442,566,436 is: 955,653,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,953,984 : 442,566,436 = 442,566,436 : x
  2. Step 2: Convert to fraction form
    204,953,984/442,566,436 = 442,566,436/x
  3. Step 3: Cross multiply
    204,953,984x = 442,566,436 × 442,566,436
  4. Step 4: Simplify right side
    204,953,984x = 195,865,050,273,742,080
  5. Step 5: Solve for x
    x = 195,865,050,273,742,080/204,953,984
  6. Step 6: Final answer
    x = 955,653,783.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.