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Finding the Third Proportional to 147,314,637 and 204,829,231.50

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Solution

The third proportional to 147,314,637 and 204,829,231.50 is: 284,798,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,314,637 : 204,829,231.50 = 204,829,231.50 : x
  2. Step 2: Convert to fraction form
    147,314,637/204,829,231.50 = 204,829,231.50/x
  3. Step 3: Cross multiply
    147,314,637x = 204,829,231.50 × 204,829,231.50
  4. Step 4: Simplify right side
    147,314,637x = 41,955,014,076,880,592
  5. Step 5: Solve for x
    x = 41,955,014,076,880,592/147,314,637
  6. Step 6: Final answer
    x = 284,798,679.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.