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Finding the Third Proportional to 53,184,526 and 116,458,128

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Solution

The third proportional to 53,184,526 and 116,458,128 is: 255,008,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,184,526 : 116,458,128 = 116,458,128 : x
  2. Step 2: Convert to fraction form
    53,184,526/116,458,128 = 116,458,128/x
  3. Step 3: Cross multiply
    53,184,526x = 116,458,128 × 116,458,128
  4. Step 4: Simplify right side
    53,184,526x = 13,562,495,577,264,384
  5. Step 5: Solve for x
    x = 13,562,495,577,264,384/53,184,526
  6. Step 6: Final answer
    x = 255,008,300.30

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Why These Related Problems?

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