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Finding the Third Proportional to 99,716,496.75 and 153,176,748.75

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Solution

The third proportional to 99,716,496.75 and 153,176,748.75 is: 235,298,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,716,496.75 : 153,176,748.75 = 153,176,748.75 : x
  2. Step 2: Convert to fraction form
    99,716,496.75/153,176,748.75 = 153,176,748.75/x
  3. Step 3: Cross multiply
    99,716,496.75x = 153,176,748.75 × 153,176,748.75
  4. Step 4: Simplify right side
    99,716,496.75x = 23,463,116,357,620,628
  5. Step 5: Solve for x
    x = 23,463,116,357,620,628/99,716,496.75
  6. Step 6: Final answer
    x = 235,298,241.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.