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Finding the Third Proportional to 97,127,046 and 208,100,106

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Solution

The third proportional to 97,127,046 and 208,100,106 is: 445,866,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,127,046 : 208,100,106 = 208,100,106 : x
  2. Step 2: Convert to fraction form
    97,127,046/208,100,106 = 208,100,106/x
  3. Step 3: Cross multiply
    97,127,046x = 208,100,106 × 208,100,106
  4. Step 4: Simplify right side
    97,127,046x = 43,305,654,117,211,232
  5. Step 5: Solve for x
    x = 43,305,654,117,211,232/97,127,046
  6. Step 6: Final answer
    x = 445,866,068.21

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Why These Related Problems?

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