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Finding the Third Proportional to 66,430,615.50 and 144,949,325.63

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Solution

The third proportional to 66,430,615.50 and 144,949,325.63 is: 316,274,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,430,615.50 : 144,949,325.63 = 144,949,325.63 : x
  2. Step 2: Convert to fraction form
    66,430,615.50/144,949,325.63 = 144,949,325.63/x
  3. Step 3: Cross multiply
    66,430,615.50x = 144,949,325.63 × 144,949,325.63
  4. Step 4: Simplify right side
    66,430,615.50x = 21,010,306,999,142,280
  5. Step 5: Solve for x
    x = 21,010,306,999,142,280/66,430,615.50
  6. Step 6: Final answer
    x = 316,274,459.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.