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Finding the Third Proportional to 35,099,178.19 and 78,264,088.31

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Solution

The third proportional to 35,099,178.19 and 78,264,088.31 is: 174,513,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,099,178.19 : 78,264,088.31 = 78,264,088.31 : x
  2. Step 2: Convert to fraction form
    35,099,178.19/78,264,088.31 = 78,264,088.31/x
  3. Step 3: Cross multiply
    35,099,178.19x = 78,264,088.31 × 78,264,088.31
  4. Step 4: Simplify right side
    35,099,178.19x = 6,125,267,519,386,799
  5. Step 5: Solve for x
    x = 6,125,267,519,386,799/35,099,178.19
  6. Step 6: Final answer
    x = 174,513,132.09

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.