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Finding the Third Proportional to 66,985,824.38 and 145,102,619.25

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Solution

The third proportional to 66,985,824.38 and 145,102,619.25 is: 314,316,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,985,824.38 : 145,102,619.25 = 145,102,619.25 : x
  2. Step 2: Convert to fraction form
    66,985,824.38/145,102,619.25 = 145,102,619.25/x
  3. Step 3: Cross multiply
    66,985,824.38x = 145,102,619.25 × 145,102,619.25
  4. Step 4: Simplify right side
    66,985,824.38x = 21,054,770,113,210,472
  5. Step 5: Solve for x
    x = 21,054,770,113,210,472/66,985,824.38
  6. Step 6: Final answer
    x = 314,316,802.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.