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Finding the Third Proportional to 240,195,415.50 and 524,434,459.50

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Solution

The third proportional to 240,195,415.50 and 524,434,459.50 is: 1,145,032,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,195,415.50 : 524,434,459.50 = 524,434,459.50 : x
  2. Step 2: Convert to fraction form
    240,195,415.50/524,434,459.50 = 524,434,459.50/x
  3. Step 3: Cross multiply
    240,195,415.50x = 524,434,459.50 × 524,434,459.50
  4. Step 4: Simplify right side
    240,195,415.50x = 275,031,502,311,057,152
  5. Step 5: Solve for x
    x = 275,031,502,311,057,152/240,195,415.50
  6. Step 6: Final answer
    x = 1,145,032,271.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.