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Finding the Third Proportional to 191,567,716.50 and 295,968,901.50

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Solution

The third proportional to 191,567,716.50 and 295,968,901.50 is: 457,266,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,567,716.50 : 295,968,901.50 = 295,968,901.50 : x
  2. Step 2: Convert to fraction form
    191,567,716.50/295,968,901.50 = 295,968,901.50/x
  3. Step 3: Cross multiply
    191,567,716.50x = 295,968,901.50 × 295,968,901.50
  4. Step 4: Simplify right side
    191,567,716.50x = 87,597,590,655,116,704
  5. Step 5: Solve for x
    x = 87,597,590,655,116,704/191,567,716.50
  6. Step 6: Final answer
    x = 457,266,977.21

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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.