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Finding the Third Proportional to 180,236,421 and 370,027,723.50

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Solution

The third proportional to 180,236,421 and 370,027,723.50 is: 759,671,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,236,421 : 370,027,723.50 = 370,027,723.50 : x
  2. Step 2: Convert to fraction form
    180,236,421/370,027,723.50 = 370,027,723.50/x
  3. Step 3: Cross multiply
    180,236,421x = 370,027,723.50 × 370,027,723.50
  4. Step 4: Simplify right side
    180,236,421x = 136,920,516,158,592,448
  5. Step 5: Solve for x
    x = 136,920,516,158,592,448/180,236,421
  6. Step 6: Final answer
    x = 759,671,743.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.