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Finding the Third Proportional to 242,130,853,525.25 and 520,194,705,148

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Solution

The third proportional to 242,130,853,525.25 and 520,194,705,148 is: 1,117,587,979,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,130,853,525.25 : 520,194,705,148 = 520,194,705,148 : x
  2. Step 2: Convert to fraction form
    242,130,853,525.25/520,194,705,148 = 520,194,705,148/x
  3. Step 3: Cross multiply
    242,130,853,525.25x = 520,194,705,148 × 520,194,705,148
  4. Step 4: Simplify right side
    242,130,853,525.25x = 270,602,531,264,014,665,646,080
  5. Step 5: Solve for x
    x = 270,602,531,264,014,665,646,080/242,130,853,525.25
  6. Step 6: Final answer
    x = 1,117,587,979,079.24

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