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Finding the Third Proportional to 137,435,760 and 294,545,034

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Solution

The third proportional to 137,435,760 and 294,545,034 is: 631,253,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,435,760 : 294,545,034 = 294,545,034 : x
  2. Step 2: Convert to fraction form
    137,435,760/294,545,034 = 294,545,034/x
  3. Step 3: Cross multiply
    137,435,760x = 294,545,034 × 294,545,034
  4. Step 4: Simplify right side
    137,435,760x = 86,756,777,054,061,152
  5. Step 5: Solve for x
    x = 86,756,777,054,061,152/137,435,760
  6. Step 6: Final answer
    x = 631,253,300.12

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.