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Finding the Third Proportional to 239,807,075 and 524,817,904.50

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Solution

The third proportional to 239,807,075 and 524,817,904.50 is: 1,148,564,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,807,075 : 524,817,904.50 = 524,817,904.50 : x
  2. Step 2: Convert to fraction form
    239,807,075/524,817,904.50 = 524,817,904.50/x
  3. Step 3: Cross multiply
    239,807,075x = 524,817,904.50 × 524,817,904.50
  4. Step 4: Simplify right side
    239,807,075x = 275,433,832,883,771,136
  5. Step 5: Solve for x
    x = 275,433,832,883,771,136/239,807,075
  6. Step 6: Final answer
    x = 1,148,564,248.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.