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Finding the Third Proportional to 91,997,931.94 and 197,480,974.22

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Solution

The third proportional to 91,997,931.94 and 197,480,974.22 is: 423,908,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,997,931.94 : 197,480,974.22 = 197,480,974.22 : x
  2. Step 2: Convert to fraction form
    91,997,931.94/197,480,974.22 = 197,480,974.22/x
  3. Step 3: Cross multiply
    91,997,931.94x = 197,480,974.22 × 197,480,974.22
  4. Step 4: Simplify right side
    91,997,931.94x = 38,998,735,178,386,600
  5. Step 5: Solve for x
    x = 38,998,735,178,386,600/91,997,931.94
  6. Step 6: Final answer
    x = 423,908,824.44

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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.