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Finding the Third Proportional to 144,168,078 and 314,533,901

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Solution

The third proportional to 144,168,078 and 314,533,901 is: 686,223,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,168,078 : 314,533,901 = 314,533,901 : x
  2. Step 2: Convert to fraction form
    144,168,078/314,533,901 = 314,533,901/x
  3. Step 3: Cross multiply
    144,168,078x = 314,533,901 × 314,533,901
  4. Step 4: Simplify right side
    144,168,078x = 98,931,574,878,277,808
  5. Step 5: Solve for x
    x = 98,931,574,878,277,808/144,168,078
  6. Step 6: Final answer
    x = 686,223,859.34

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Why These Related Problems?

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