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Finding the Third Proportional to 91,596,814 and 197,542,130

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Solution

The third proportional to 91,596,814 and 197,542,130 is: 426,028,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,596,814 : 197,542,130 = 197,542,130 : x
  2. Step 2: Convert to fraction form
    91,596,814/197,542,130 = 197,542,130/x
  3. Step 3: Cross multiply
    91,596,814x = 197,542,130 × 197,542,130
  4. Step 4: Simplify right side
    91,596,814x = 39,022,893,124,936,896
  5. Step 5: Solve for x
    x = 39,022,893,124,936,896/91,596,814
  6. Step 6: Final answer
    x = 426,028,935.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.