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Finding the Third Proportional to 52,735,402.50 and 115,681,762.50

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Solution

The third proportional to 52,735,402.50 and 115,681,762.50 is: 253,762,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,735,402.50 : 115,681,762.50 = 115,681,762.50 : x
  2. Step 2: Convert to fraction form
    52,735,402.50/115,681,762.50 = 115,681,762.50/x
  3. Step 3: Cross multiply
    52,735,402.50x = 115,681,762.50 × 115,681,762.50
  4. Step 4: Simplify right side
    52,735,402.50x = 13,382,270,175,106,406
  5. Step 5: Solve for x
    x = 13,382,270,175,106,406/52,735,402.50
  6. Step 6: Final answer
    x = 253,762,549.27

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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.