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Finding the Third Proportional to 45,712,848 and 97,625,300

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Solution

The third proportional to 45,712,848 and 97,625,300 is: 208,490,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712,848 : 97,625,300 = 97,625,300 : x
  2. Step 2: Convert to fraction form
    45,712,848/97,625,300 = 97,625,300/x
  3. Step 3: Cross multiply
    45,712,848x = 97,625,300 × 97,625,300
  4. Step 4: Simplify right side
    45,712,848x = 9,530,699,200,090,000
  5. Step 5: Solve for x
    x = 9,530,699,200,090,000/45,712,848
  6. Step 6: Final answer
    x = 208,490,602.03

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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.