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Finding the Third Proportional to 202,743,928.88 and 314,076,965.81

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Solution

The third proportional to 202,743,928.88 and 314,076,965.81 is: 486,546,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,743,928.88 : 314,076,965.81 = 314,076,965.81 : x
  2. Step 2: Convert to fraction form
    202,743,928.88/314,076,965.81 = 314,076,965.81/x
  3. Step 3: Cross multiply
    202,743,928.88x = 314,076,965.81 × 314,076,965.81
  4. Step 4: Simplify right side
    202,743,928.88x = 98,644,340,453,986,288
  5. Step 5: Solve for x
    x = 98,644,340,453,986,288/202,743,928.88
  6. Step 6: Final answer
    x = 486,546,457.90

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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.