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Finding the Third Proportional to 107,578,417 and 161,477,785.50

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Solution

The third proportional to 107,578,417 and 161,477,785.50 is: 242,382,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,578,417 : 161,477,785.50 = 161,477,785.50 : x
  2. Step 2: Convert to fraction form
    107,578,417/161,477,785.50 = 161,477,785.50/x
  3. Step 3: Cross multiply
    107,578,417x = 161,477,785.50 × 161,477,785.50
  4. Step 4: Simplify right side
    107,578,417x = 26,075,075,209,984,012
  5. Step 5: Solve for x
    x = 26,075,075,209,984,012/107,578,417
  6. Step 6: Final answer
    x = 242,382,031.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.