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Finding the Third Proportional to 126,264,075.75 and 295,009,958.25

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Solution

The third proportional to 126,264,075.75 and 295,009,958.25 is: 689,276,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,264,075.75 : 295,009,958.25 = 295,009,958.25 : x
  2. Step 2: Convert to fraction form
    126,264,075.75/295,009,958.25 = 295,009,958.25/x
  3. Step 3: Cross multiply
    126,264,075.75x = 295,009,958.25 × 295,009,958.25
  4. Step 4: Simplify right side
    126,264,075.75x = 87,030,875,466,666,736
  5. Step 5: Solve for x
    x = 87,030,875,466,666,736/126,264,075.75
  6. Step 6: Final answer
    x = 689,276,620.84

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.