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Finding the Third Proportional to 246,285,093.50 and 535,438,671.50

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Solution

The third proportional to 246,285,093.50 and 535,438,671.50 is: 1,164,076,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,285,093.50 : 535,438,671.50 = 535,438,671.50 : x
  2. Step 2: Convert to fraction form
    246,285,093.50/535,438,671.50 = 535,438,671.50/x
  3. Step 3: Cross multiply
    246,285,093.50x = 535,438,671.50 × 535,438,671.50
  4. Step 4: Simplify right side
    246,285,093.50x = 286,694,570,937,684,928
  5. Step 5: Solve for x
    x = 286,694,570,937,684,928/246,285,093.50
  6. Step 6: Final answer
    x = 1,164,076,018.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.