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Finding the Third Proportional to 180,215,643 and 270,803,316

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Solution

The third proportional to 180,215,643 and 270,803,316 is: 406,926,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,215,643 : 270,803,316 = 270,803,316 : x
  2. Step 2: Convert to fraction form
    180,215,643/270,803,316 = 270,803,316/x
  3. Step 3: Cross multiply
    180,215,643x = 270,803,316 × 270,803,316
  4. Step 4: Simplify right side
    180,215,643x = 73,334,435,956,595,856
  5. Step 5: Solve for x
    x = 73,334,435,956,595,856/180,215,643
  6. Step 6: Final answer
    x = 406,926,028.93

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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.