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Finding the Third Proportional to 100,544,567.63 and 153,738,739.13

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Solution

The third proportional to 100,544,567.63 and 153,738,739.13 is: 235,075,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,544,567.63 : 153,738,739.13 = 153,738,739.13 : x
  2. Step 2: Convert to fraction form
    100,544,567.63/153,738,739.13 = 153,738,739.13/x
  3. Step 3: Cross multiply
    100,544,567.63x = 153,738,739.13 × 153,738,739.13
  4. Step 4: Simplify right side
    100,544,567.63x = 23,635,599,907,744,804
  5. Step 5: Solve for x
    x = 23,635,599,907,744,804/100,544,567.63
  6. Step 6: Final answer
    x = 235,075,852.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.