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Finding the Third Proportional to 97,127,014.50 and 208,100,047.50

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Solution

The third proportional to 97,127,014.50 and 208,100,047.50 is: 445,865,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,127,014.50 : 208,100,047.50 = 208,100,047.50 : x
  2. Step 2: Convert to fraction form
    97,127,014.50/208,100,047.50 = 208,100,047.50/x
  3. Step 3: Cross multiply
    97,127,014.50x = 208,100,047.50 × 208,100,047.50
  4. Step 4: Simplify right side
    97,127,014.50x = 43,305,629,769,502,256
  5. Step 5: Solve for x
    x = 43,305,629,769,502,256/97,127,014.50
  6. Step 6: Final answer
    x = 445,865,962.14

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.