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Finding the Third Proportional to 102,033,746,080 and 143,623,386,448

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Solution

The third proportional to 102,033,746,080 and 143,623,386,448 is: 202,165,243,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,033,746,080 : 143,623,386,448 = 143,623,386,448 : x
  2. Step 2: Convert to fraction form
    102,033,746,080/143,623,386,448 = 143,623,386,448/x
  3. Step 3: Cross multiply
    102,033,746,080x = 143,623,386,448 × 143,623,386,448
  4. Step 4: Simplify right side
    102,033,746,080x = 20,627,677,134,791,548,862,464
  5. Step 5: Solve for x
    x = 20,627,677,134,791,548,862,464/102,033,746,080
  6. Step 6: Final answer
    x = 202,165,243,630.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.