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Finding the Third Proportional to 98,076,064.50 and 208,107,009

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Solution

The third proportional to 98,076,064.50 and 208,107,009 is: 441,581,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,076,064.50 : 208,107,009 = 208,107,009 : x
  2. Step 2: Convert to fraction form
    98,076,064.50/208,107,009 = 208,107,009/x
  3. Step 3: Cross multiply
    98,076,064.50x = 208,107,009 × 208,107,009
  4. Step 4: Simplify right side
    98,076,064.50x = 43,308,527,194,926,080
  5. Step 5: Solve for x
    x = 43,308,527,194,926,080/98,076,064.50
  6. Step 6: Final answer
    x = 441,581,005.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.