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Finding the Third Proportional to 72,903,039.75 and 102,547,157.63

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Solution

The third proportional to 72,903,039.75 and 102,547,157.63 is: 144,245,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,903,039.75 : 102,547,157.63 = 102,547,157.63 : x
  2. Step 2: Convert to fraction form
    72,903,039.75/102,547,157.63 = 102,547,157.63/x
  3. Step 3: Cross multiply
    72,903,039.75x = 102,547,157.63 × 102,547,157.63
  4. Step 4: Simplify right side
    72,903,039.75x = 10,515,919,536,966,596
  5. Step 5: Solve for x
    x = 10,515,919,536,966,596/72,903,039.75
  6. Step 6: Final answer
    x = 144,245,282.13

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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.