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Finding the Third Proportional to 48,971,845.69 and 115,441,903.69

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Solution

The third proportional to 48,971,845.69 and 115,441,903.69 is: 272,132,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,971,845.69 : 115,441,903.69 = 115,441,903.69 : x
  2. Step 2: Convert to fraction form
    48,971,845.69/115,441,903.69 = 115,441,903.69/x
  3. Step 3: Cross multiply
    48,971,845.69x = 115,441,903.69 × 115,441,903.69
  4. Step 4: Simplify right side
    48,971,845.69x = 13,326,833,126,994,026
  5. Step 5: Solve for x
    x = 13,326,833,126,994,026/48,971,845.69
  6. Step 6: Final answer
    x = 272,132,547.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.