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Finding the Third Proportional to 307,041,081.05 and 439,072,124.03

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Solution

The third proportional to 307,041,081.05 and 439,072,124.03 is: 627,877,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,041,081.05 : 439,072,124.03 = 439,072,124.03 : x
  2. Step 2: Convert to fraction form
    307,041,081.05/439,072,124.03 = 439,072,124.03/x
  3. Step 3: Cross multiply
    307,041,081.05x = 439,072,124.03 × 439,072,124.03
  4. Step 4: Simplify right side
    307,041,081.05x = 192,784,330,097,862,304
  5. Step 5: Solve for x
    x = 192,784,330,097,862,304/307,041,081.05
  6. Step 6: Final answer
    x = 627,877,968.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.