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Finding the Third Proportional to 42,676,844.63 and 91,827,345.94

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Solution

The third proportional to 42,676,844.63 and 91,827,345.94 is: 197,583,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,676,844.63 : 91,827,345.94 = 91,827,345.94 : x
  2. Step 2: Convert to fraction form
    42,676,844.63/91,827,345.94 = 91,827,345.94/x
  3. Step 3: Cross multiply
    42,676,844.63x = 91,827,345.94 × 91,827,345.94
  4. Step 4: Simplify right side
    42,676,844.63x = 8,432,261,461,925,298
  5. Step 5: Solve for x
    x = 8,432,261,461,925,298/42,676,844.63
  6. Step 6: Final answer
    x = 197,583,995.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.