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Finding the Third Proportional to 272,534,803 and 408,702,108.50

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Solution

The third proportional to 272,534,803 and 408,702,108.50 is: 612,903,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,534,803 : 408,702,108.50 = 408,702,108.50 : x
  2. Step 2: Convert to fraction form
    272,534,803/408,702,108.50 = 408,702,108.50/x
  3. Step 3: Cross multiply
    272,534,803x = 408,702,108.50 × 408,702,108.50
  4. Step 4: Simplify right side
    272,534,803x = 167,037,413,492,345,760
  5. Step 5: Solve for x
    x = 167,037,413,492,345,760/272,534,803
  6. Step 6: Final answer
    x = 612,903,055.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.