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Finding the Third Proportional to 54,129,819 and 78,208,258.50

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Solution

The third proportional to 54,129,819 and 78,208,258.50 is: 112,997,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,129,819 : 78,208,258.50 = 78,208,258.50 : x
  2. Step 2: Convert to fraction form
    54,129,819/78,208,258.50 = 78,208,258.50/x
  3. Step 3: Cross multiply
    54,129,819x = 78,208,258.50 × 78,208,258.50
  4. Step 4: Simplify right side
    54,129,819x = 6,116,531,697,602,822
  5. Step 5: Solve for x
    x = 6,116,531,697,602,822/54,129,819
  6. Step 6: Final answer
    x = 112,997,453.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.