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Finding the Third Proportional to 135,139,127.63 and 295,049,304

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Solution

The third proportional to 135,139,127.63 and 295,049,304 is: 644,181,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,139,127.63 : 295,049,304 = 295,049,304 : x
  2. Step 2: Convert to fraction form
    135,139,127.63/295,049,304 = 295,049,304/x
  3. Step 3: Cross multiply
    135,139,127.63x = 295,049,304 × 295,049,304
  4. Step 4: Simplify right side
    135,139,127.63x = 87,054,091,790,884,416
  5. Step 5: Solve for x
    x = 87,054,091,790,884,416/135,139,127.63
  6. Step 6: Final answer
    x = 644,181,247.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.