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Finding the Third Proportional to 98,076,065.50 and 208,107,011

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Solution

The third proportional to 98,076,065.50 and 208,107,011 is: 441,581,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,076,065.50 : 208,107,011 = 208,107,011 : x
  2. Step 2: Convert to fraction form
    98,076,065.50/208,107,011 = 208,107,011/x
  3. Step 3: Cross multiply
    98,076,065.50x = 208,107,011 × 208,107,011
  4. Step 4: Simplify right side
    98,076,065.50x = 43,308,528,027,354,120
  5. Step 5: Solve for x
    x = 43,308,528,027,354,120/98,076,065.50
  6. Step 6: Final answer
    x = 441,581,009.66

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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.