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Finding the Third Proportional to 104,731,570 and 220,316,492

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Solution

The third proportional to 104,731,570 and 220,316,492 is: 463,464,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,731,570 : 220,316,492 = 220,316,492 : x
  2. Step 2: Convert to fraction form
    104,731,570/220,316,492 = 220,316,492/x
  3. Step 3: Cross multiply
    104,731,570x = 220,316,492 × 220,316,492
  4. Step 4: Simplify right side
    104,731,570x = 48,539,356,647,186,064
  5. Step 5: Solve for x
    x = 48,539,356,647,186,064/104,731,570
  6. Step 6: Final answer
    x = 463,464,422.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.