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Finding the Third Proportional to 239,590,095 and 368,039,722.50

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Solution

The third proportional to 239,590,095 and 368,039,722.50 is: 565,354,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,590,095 : 368,039,722.50 = 368,039,722.50 : x
  2. Step 2: Convert to fraction form
    239,590,095/368,039,722.50 = 368,039,722.50/x
  3. Step 3: Cross multiply
    239,590,095x = 368,039,722.50 × 368,039,722.50
  4. Step 4: Simplify right side
    239,590,095x = 135,453,237,337,877,008
  5. Step 5: Solve for x
    x = 135,453,237,337,877,008/239,590,095
  6. Step 6: Final answer
    x = 565,354,078.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.