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Finding the Third Proportional to 44,388,429.75 and 97,262,419.50

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Solution

The third proportional to 44,388,429.75 and 97,262,419.50 is: 213,118,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,388,429.75 : 97,262,419.50 = 97,262,419.50 : x
  2. Step 2: Convert to fraction form
    44,388,429.75/97,262,419.50 = 97,262,419.50/x
  3. Step 3: Cross multiply
    44,388,429.75x = 97,262,419.50 × 97,262,419.50
  4. Step 4: Simplify right side
    44,388,429.75x = 9,459,978,246,993,980
  5. Step 5: Solve for x
    x = 9,459,978,246,993,980/44,388,429.75
  6. Step 6: Final answer
    x = 213,118,109.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.