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Finding the Third Proportional to 273,237,710 and 399,608,916.50

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Solution

The third proportional to 273,237,710 and 399,608,916.50 is: 584,426,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,237,710 : 399,608,916.50 = 399,608,916.50 : x
  2. Step 2: Convert to fraction form
    273,237,710/399,608,916.50 = 399,608,916.50/x
  3. Step 3: Cross multiply
    273,237,710x = 399,608,916.50 × 399,608,916.50
  4. Step 4: Simplify right side
    273,237,710x = 159,687,286,146,303,968
  5. Step 5: Solve for x
    x = 159,687,286,146,303,968/273,237,710
  6. Step 6: Final answer
    x = 584,426,235.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.