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Finding the Third Proportional to 107,809,210.13 and 234,507,698.44

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Solution

The third proportional to 107,809,210.13 and 234,507,698.44 is: 510,103,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,809,210.13 : 234,507,698.44 = 234,507,698.44 : x
  2. Step 2: Convert to fraction form
    107,809,210.13/234,507,698.44 = 234,507,698.44/x
  3. Step 3: Cross multiply
    107,809,210.13x = 234,507,698.44 × 234,507,698.44
  4. Step 4: Simplify right side
    107,809,210.13x = 54,993,860,626,453,440
  5. Step 5: Solve for x
    x = 54,993,860,626,453,440/107,809,210.13
  6. Step 6: Final answer
    x = 510,103,548.32

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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.