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Finding the Third Proportional to 202,154,550 and 310,534,116

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Solution

The third proportional to 202,154,550 and 310,534,116 is: 477,018,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154,550 : 310,534,116 = 310,534,116 : x
  2. Step 2: Convert to fraction form
    202,154,550/310,534,116 = 310,534,116/x
  3. Step 3: Cross multiply
    202,154,550x = 310,534,116 × 310,534,116
  4. Step 4: Simplify right side
    202,154,550x = 96,431,437,199,901,456
  5. Step 5: Solve for x
    x = 96,431,437,199,901,456/202,154,550
  6. Step 6: Final answer
    x = 477,018,386.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.