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Finding the Third Proportional to 64,122,862.50 and 130,030,018.50

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Solution

The third proportional to 64,122,862.50 and 130,030,018.50 is: 263,678,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,122,862.50 : 130,030,018.50 = 130,030,018.50 : x
  2. Step 2: Convert to fraction form
    64,122,862.50/130,030,018.50 = 130,030,018.50/x
  3. Step 3: Cross multiply
    64,122,862.50x = 130,030,018.50 × 130,030,018.50
  4. Step 4: Simplify right side
    64,122,862.50x = 16,907,805,711,110,342
  5. Step 5: Solve for x
    x = 16,907,805,711,110,342/64,122,862.50
  6. Step 6: Final answer
    x = 263,678,274.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.