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Finding the Third Proportional to 202,154,519.25 and 310,534,070.63

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Solution

The third proportional to 202,154,519.25 and 310,534,070.63 is: 477,018,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154,519.25 : 310,534,070.63 = 310,534,070.63 : x
  2. Step 2: Convert to fraction form
    202,154,519.25/310,534,070.63 = 310,534,070.63/x
  3. Step 3: Cross multiply
    202,154,519.25x = 310,534,070.63 × 310,534,070.63
  4. Step 4: Simplify right side
    202,154,519.25x = 96,431,409,018,932,480
  5. Step 5: Solve for x
    x = 96,431,409,018,932,480/202,154,519.25
  6. Step 6: Final answer
    x = 477,018,319.34

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