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Finding the Third Proportional to 52,961,477.63 and 114,038,497.13

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Solution

The third proportional to 52,961,477.63 and 114,038,497.13 is: 245,551,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,961,477.63 : 114,038,497.13 = 114,038,497.13 : x
  2. Step 2: Convert to fraction form
    52,961,477.63/114,038,497.13 = 114,038,497.13/x
  3. Step 3: Cross multiply
    52,961,477.63x = 114,038,497.13 × 114,038,497.13
  4. Step 4: Simplify right side
    52,961,477.63x = 13,004,778,826,528,634
  5. Step 5: Solve for x
    x = 13,004,778,826,528,634/52,961,477.63
  6. Step 6: Final answer
    x = 245,551,661.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.