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Finding the Third Proportional to 72,903,040.50 and 102,547,158.75

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Solution

The third proportional to 72,903,040.50 and 102,547,158.75 is: 144,245,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,903,040.50 : 102,547,158.75 = 102,547,158.75 : x
  2. Step 2: Convert to fraction form
    72,903,040.50/102,547,158.75 = 102,547,158.75/x
  3. Step 3: Cross multiply
    72,903,040.50x = 102,547,158.75 × 102,547,158.75
  4. Step 4: Simplify right side
    72,903,040.50x = 10,515,919,767,697,702
  5. Step 5: Solve for x
    x = 10,515,919,767,697,702/72,903,040.50
  6. Step 6: Final answer
    x = 144,245,283.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.