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Finding the Third Proportional to 58,773,441.75 and 137,245,877.63

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Solution

The third proportional to 58,773,441.75 and 137,245,877.63 is: 320,492,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,773,441.75 : 137,245,877.63 = 137,245,877.63 : x
  2. Step 2: Convert to fraction form
    58,773,441.75/137,245,877.63 = 137,245,877.63/x
  3. Step 3: Cross multiply
    58,773,441.75x = 137,245,877.63 × 137,245,877.63
  4. Step 4: Simplify right side
    58,773,441.75x = 18,836,430,925,056,476
  5. Step 5: Solve for x
    x = 18,836,430,925,056,476/58,773,441.75
  6. Step 6: Final answer
    x = 320,492,221.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.