Home / 164,318,149.13-346,971,073.50

Finding the Third Proportional to 164,318,149.13 and 346,971,073.50

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Solution

The third proportional to 164,318,149.13 and 346,971,073.50 is: 732,657,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,318,149.13 : 346,971,073.50 = 346,971,073.50 : x
  2. Step 2: Convert to fraction form
    164,318,149.13/346,971,073.50 = 346,971,073.50/x
  3. Step 3: Cross multiply
    164,318,149.13x = 346,971,073.50 × 346,971,073.50
  4. Step 4: Simplify right side
    164,318,149.13x = 120,388,925,845,742,400
  5. Step 5: Solve for x
    x = 120,388,925,845,742,400/164,318,149.13
  6. Step 6: Final answer
    x = 732,657,509.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.