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Finding the Third Proportional to 117,135,639,555 and 164,952,792,465

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Solution

The third proportional to 117,135,639,555 and 164,952,792,465 is: 232,289,880,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,135,639,555 : 164,952,792,465 = 164,952,792,465 : x
  2. Step 2: Convert to fraction form
    117,135,639,555/164,952,792,465 = 164,952,792,465/x
  3. Step 3: Cross multiply
    117,135,639,555x = 164,952,792,465 × 164,952,792,465
  4. Step 4: Simplify right side
    117,135,639,555x = 27,209,423,742,001,360,142,336
  5. Step 5: Solve for x
    x = 27,209,423,742,001,360,142,336/117,135,639,555
  6. Step 6: Final answer
    x = 232,289,880,734.59

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