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Finding the Third Proportional to 161,547,984 and 250,619,016

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Solution

The third proportional to 161,547,984 and 250,619,016 is: 388,800,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,547,984 : 250,619,016 = 250,619,016 : x
  2. Step 2: Convert to fraction form
    161,547,984/250,619,016 = 250,619,016/x
  3. Step 3: Cross multiply
    161,547,984x = 250,619,016 × 250,619,016
  4. Step 4: Simplify right side
    161,547,984x = 62,809,891,180,808,256
  5. Step 5: Solve for x
    x = 62,809,891,180,808,256/161,547,984
  6. Step 6: Final answer
    x = 388,800,216.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.