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Finding the Third Proportional to 153,011,673 and 330,203,547

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Solution

The third proportional to 153,011,673 and 330,203,547 is: 712,588,656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,011,673 : 330,203,547 = 330,203,547 : x
  2. Step 2: Convert to fraction form
    153,011,673/330,203,547 = 330,203,547/x
  3. Step 3: Cross multiply
    153,011,673x = 330,203,547 × 330,203,547
  4. Step 4: Simplify right side
    153,011,673x = 109,034,382,451,381,216
  5. Step 5: Solve for x
    x = 109,034,382,451,381,216/153,011,673
  6. Step 6: Final answer
    x = 712,588,656.24

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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.