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Finding the Third Proportional to 48,440,242.69 and 103,602,214.69

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Solution

The third proportional to 48,440,242.69 and 103,602,214.69 is: 221,580,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,440,242.69 : 103,602,214.69 = 103,602,214.69 : x
  2. Step 2: Convert to fraction form
    48,440,242.69/103,602,214.69 = 103,602,214.69/x
  3. Step 3: Cross multiply
    48,440,242.69x = 103,602,214.69 × 103,602,214.69
  4. Step 4: Simplify right side
    48,440,242.69x = 10,733,418,888,154,840
  5. Step 5: Solve for x
    x = 10,733,418,888,154,840/48,440,242.69
  6. Step 6: Final answer
    x = 221,580,617.53

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