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Finding the Third Proportional to 93,700,116,357.47 and 142,745,645,880.71

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Solution

The third proportional to 93,700,116,357.47 and 142,745,645,880.71 is: 217,463,117,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,700,116,357.47 : 142,745,645,880.71 = 142,745,645,880.71 : x
  2. Step 2: Convert to fraction form
    93,700,116,357.47/142,745,645,880.71 = 142,745,645,880.71/x
  3. Step 3: Cross multiply
    93,700,116,357.47x = 142,745,645,880.71 × 142,745,645,880.71
  4. Step 4: Simplify right side
    93,700,116,357.47x = 20,376,319,417,901,056,524,288
  5. Step 5: Solve for x
    x = 20,376,319,417,901,056,524,288/93,700,116,357.47
  6. Step 6: Final answer
    x = 217,463,117,550.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.