Finding the Third Proportional to 113,197,968,216 and 242,297,560,944
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Solution
The third proportional to 113,197,968,216 and 242,297,560,944 is: 518,632,171,271.72
Step by Step Solution
- Step 1: Write the proportion equation
113,197,968,216 : 242,297,560,944 = 242,297,560,944 : x - Step 2: Convert to fraction form
113,197,968,216/242,297,560,944 = 242,297,560,944/x - Step 3: Cross multiply
113,197,968,216x = 242,297,560,944 × 242,297,560,944 - Step 4: Simplify right side
113,197,968,216x = 58,708,108,039,411,390,742,528 - Step 5: Solve for x
x = 58,708,108,039,411,390,742,528/113,197,968,216 - Step 6: Final answer
x = 518,632,171,271.72
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.