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Finding the Third Proportional to 199,070,522 and 284,671,191

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Solution

The third proportional to 199,070,522 and 284,671,191 is: 407,080,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,070,522 : 284,671,191 = 284,671,191 : x
  2. Step 2: Convert to fraction form
    199,070,522/284,671,191 = 284,671,191/x
  3. Step 3: Cross multiply
    199,070,522x = 284,671,191 × 284,671,191
  4. Step 4: Simplify right side
    199,070,522x = 81,037,686,985,358,480
  5. Step 5: Solve for x
    x = 81,037,686,985,358,480/199,070,522
  6. Step 6: Final answer
    x = 407,080,295.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.