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Finding the Third Proportional to 91,457,976,963 and 198,113,439,360

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Solution

The third proportional to 91,457,976,963 and 198,113,439,360 is: 429,147,201,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,457,976,963 : 198,113,439,360 = 198,113,439,360 : x
  2. Step 2: Convert to fraction form
    91,457,976,963/198,113,439,360 = 198,113,439,360/x
  3. Step 3: Cross multiply
    91,457,976,963x = 198,113,439,360 × 198,113,439,360
  4. Step 4: Simplify right side
    91,457,976,963x = 39,248,934,855,048,398,110,720
  5. Step 5: Solve for x
    x = 39,248,934,855,048,398,110,720/91,457,976,963
  6. Step 6: Final answer
    x = 429,147,201,352.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.