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Finding the Third Proportional to 140,670,188 and 299,920,984

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Solution

The third proportional to 140,670,188 and 299,920,984 is: 639,457,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,670,188 : 299,920,984 = 299,920,984 : x
  2. Step 2: Convert to fraction form
    140,670,188/299,920,984 = 299,920,984/x
  3. Step 3: Cross multiply
    140,670,188x = 299,920,984 × 299,920,984
  4. Step 4: Simplify right side
    140,670,188x = 89,952,596,643,528,256
  5. Step 5: Solve for x
    x = 89,952,596,643,528,256/140,670,188
  6. Step 6: Final answer
    x = 639,457,428.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.