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Finding the Third Proportional to 173,266,698,894 and 370,378,424,716.50

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Solution

The third proportional to 173,266,698,894 and 370,378,424,716.50 is: 791,728,464,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,266,698,894 : 370,378,424,716.50 = 370,378,424,716.50 : x
  2. Step 2: Convert to fraction form
    173,266,698,894/370,378,424,716.50 = 370,378,424,716.50/x
  3. Step 3: Cross multiply
    173,266,698,894x = 370,378,424,716.50 × 370,378,424,716.50
  4. Step 4: Simplify right side
    173,266,698,894x = 137,180,177,495,476,064,485,376
  5. Step 5: Solve for x
    x = 137,180,177,495,476,064,485,376/173,266,698,894
  6. Step 6: Final answer
    x = 791,728,464,679.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.