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Finding the Third Proportional to 49,235,802.75 and 113,971,968

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Solution

The third proportional to 49,235,802.75 and 113,971,968 is: 263,824,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235,802.75 : 113,971,968 = 113,971,968 : x
  2. Step 2: Convert to fraction form
    49,235,802.75/113,971,968 = 113,971,968/x
  3. Step 3: Cross multiply
    49,235,802.75x = 113,971,968 × 113,971,968
  4. Step 4: Simplify right side
    49,235,802.75x = 12,989,609,489,793,024
  5. Step 5: Solve for x
    x = 12,989,609,489,793,024/49,235,802.75
  6. Step 6: Final answer
    x = 263,824,468.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.