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Finding the Third Proportional to 72,183,414 and 155,872,465.50

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Solution

The third proportional to 72,183,414 and 155,872,465.50 is: 336,590,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,183,414 : 155,872,465.50 = 155,872,465.50 : x
  2. Step 2: Convert to fraction form
    72,183,414/155,872,465.50 = 155,872,465.50/x
  3. Step 3: Cross multiply
    72,183,414x = 155,872,465.50 × 155,872,465.50
  4. Step 4: Simplify right side
    72,183,414x = 24,296,225,501,048,692
  5. Step 5: Solve for x
    x = 24,296,225,501,048,692/72,183,414
  6. Step 6: Final answer
    x = 336,590,141.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.