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Finding the Third Proportional to 113,342,172,292 and 248,035,623,178

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Solution

The third proportional to 113,342,172,292 and 248,035,623,178 is: 542,795,934,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,342,172,292 : 248,035,623,178 = 248,035,623,178 : x
  2. Step 2: Convert to fraction form
    113,342,172,292/248,035,623,178 = 248,035,623,178/x
  3. Step 3: Cross multiply
    113,342,172,292x = 248,035,623,178 × 248,035,623,178
  4. Step 4: Simplify right side
    113,342,172,292x = 61,521,670,365,298,810,683,392
  5. Step 5: Solve for x
    x = 61,521,670,365,298,810,683,392/113,342,172,292
  6. Step 6: Final answer
    x = 542,795,934,833.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.