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Finding the Third Proportional to 259,996,155.75 and 529,072,465.50

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Solution

The third proportional to 259,996,155.75 and 529,072,465.50 is: 1,076,622,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,996,155.75 : 529,072,465.50 = 529,072,465.50 : x
  2. Step 2: Convert to fraction form
    259,996,155.75/529,072,465.50 = 529,072,465.50/x
  3. Step 3: Cross multiply
    259,996,155.75x = 529,072,465.50 × 529,072,465.50
  4. Step 4: Simplify right side
    259,996,155.75x = 279,917,673,750,248,704
  5. Step 5: Solve for x
    x = 279,917,673,750,248,704/259,996,155.75
  6. Step 6: Final answer
    x = 1,076,622,355.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.