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Finding the Third Proportional to 58,120,940,991 and 90,975,146,809.50

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Solution

The third proportional to 58,120,940,991 and 90,975,146,809.50 is: 142,400,952,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,120,940,991 : 90,975,146,809.50 = 90,975,146,809.50 : x
  2. Step 2: Convert to fraction form
    58,120,940,991/90,975,146,809.50 = 90,975,146,809.50/x
  3. Step 3: Cross multiply
    58,120,940,991x = 90,975,146,809.50 × 90,975,146,809.50
  4. Step 4: Simplify right side
    58,120,940,991x = 8,276,477,337,010,078,482,432
  5. Step 5: Solve for x
    x = 8,276,477,337,010,078,482,432/58,120,940,991
  6. Step 6: Final answer
    x = 142,400,952,150.65

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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.