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Finding the Third Proportional to 72,569,234,286 and 113,590,671,988.50

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Solution

The third proportional to 72,569,234,286 and 113,590,671,988.50 is: 177,800,425,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,569,234,286 : 113,590,671,988.50 = 113,590,671,988.50 : x
  2. Step 2: Convert to fraction form
    72,569,234,286/113,590,671,988.50 = 113,590,671,988.50/x
  3. Step 3: Cross multiply
    72,569,234,286x = 113,590,671,988.50 × 113,590,671,988.50
  4. Step 4: Simplify right side
    72,569,234,286x = 12,902,840,762,798,998,290,432
  5. Step 5: Solve for x
    x = 12,902,840,762,798,998,290,432/72,569,234,286
  6. Step 6: Final answer
    x = 177,800,425,893.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.