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Finding the Third Proportional to 102,132,951.75 and 211,533,157.69

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Solution

The third proportional to 102,132,951.75 and 211,533,157.69 is: 438,117,924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,132,951.75 : 211,533,157.69 = 211,533,157.69 : x
  2. Step 2: Convert to fraction form
    102,132,951.75/211,533,157.69 = 211,533,157.69/x
  3. Step 3: Cross multiply
    102,132,951.75x = 211,533,157.69 × 211,533,157.69
  4. Step 4: Simplify right side
    102,132,951.75x = 44,746,276,801,244,744
  5. Step 5: Solve for x
    x = 44,746,276,801,244,744/102,132,951.75
  6. Step 6: Final answer
    x = 438,117,924.08

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.