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Finding the Third Proportional to 53,476,291.13 and 117,166,210.17

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Solution

The third proportional to 53,476,291.13 and 117,166,210.17 is: 256,710,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,476,291.13 : 117,166,210.17 = 117,166,210.17 : x
  2. Step 2: Convert to fraction form
    53,476,291.13/117,166,210.17 = 117,166,210.17/x
  3. Step 3: Cross multiply
    53,476,291.13x = 117,166,210.17 × 117,166,210.17
  4. Step 4: Simplify right side
    53,476,291.13x = 13,727,920,806,041,158
  5. Step 5: Solve for x
    x = 13,727,920,806,041,158/53,476,291.13
  6. Step 6: Final answer
    x = 256,710,413.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.