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Finding the Third Proportional to 144,351,148.50 and 336,830,987.25

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Solution

The third proportional to 144,351,148.50 and 336,830,987.25 is: 785,966,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,351,148.50 : 336,830,987.25 = 336,830,987.25 : x
  2. Step 2: Convert to fraction form
    144,351,148.50/336,830,987.25 = 336,830,987.25/x
  3. Step 3: Cross multiply
    144,351,148.50x = 336,830,987.25 × 336,830,987.25
  4. Step 4: Simplify right side
    144,351,148.50x = 113,455,113,971,809,664
  5. Step 5: Solve for x
    x = 113,455,113,971,809,664/144,351,148.50
  6. Step 6: Final answer
    x = 785,966,132.94

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.