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Finding the Third Proportional to 254,782,360,075.50 and 395,598,185,374.50

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Solution

The third proportional to 254,782,360,075.50 and 395,598,185,374.50 is: 614,241,599,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,782,360,075.50 : 395,598,185,374.50 = 395,598,185,374.50 : x
  2. Step 2: Convert to fraction form
    254,782,360,075.50/395,598,185,374.50 = 395,598,185,374.50/x
  3. Step 3: Cross multiply
    254,782,360,075.50x = 395,598,185,374.50 × 395,598,185,374.50
  4. Step 4: Simplify right side
    254,782,360,075.50x = 156,497,924,271,597,271,646,208
  5. Step 5: Solve for x
    x = 156,497,924,271,597,271,646,208/254,782,360,075.50
  6. Step 6: Final answer
    x = 614,241,599,085.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.