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Finding the Third Proportional to 144,168,080.63 and 314,533,905.19

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Solution

The third proportional to 144,168,080.63 and 314,533,905.19 is: 686,223,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,168,080.63 : 314,533,905.19 = 314,533,905.19 : x
  2. Step 2: Convert to fraction form
    144,168,080.63/314,533,905.19 = 314,533,905.19/x
  3. Step 3: Cross multiply
    144,168,080.63x = 314,533,905.19 × 314,533,905.19
  4. Step 4: Simplify right side
    144,168,080.63x = 98,931,577,512,499,232
  5. Step 5: Solve for x
    x = 98,931,577,512,499,232/144,168,080.63
  6. Step 6: Final answer
    x = 686,223,865.11

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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.