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Finding the Third Proportional to 66,084,503.06 and 143,152,120.13

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Solution

The third proportional to 66,084,503.06 and 143,152,120.13 is: 310,095,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084,503.06 : 143,152,120.13 = 143,152,120.13 : x
  2. Step 2: Convert to fraction form
    66,084,503.06/143,152,120.13 = 143,152,120.13/x
  3. Step 3: Cross multiply
    66,084,503.06x = 143,152,120.13 × 143,152,120.13
  4. Step 4: Simplify right side
    66,084,503.06x = 20,492,529,496,282,432
  5. Step 5: Solve for x
    x = 20,492,529,496,282,432/66,084,503.06
  6. Step 6: Final answer
    x = 310,095,840.12

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