Finding the Third Proportional to 109,884,518,870 and 238,024,210,464
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Solution
The third proportional to 109,884,518,870 and 238,024,210,464 is: 515,591,507,790.44
Step by Step Solution
- Step 1: Write the proportion equation
109,884,518,870 : 238,024,210,464 = 238,024,210,464 : x - Step 2: Convert to fraction form
109,884,518,870/238,024,210,464 = 238,024,210,464/x - Step 3: Cross multiply
109,884,518,870x = 238,024,210,464 × 238,024,210,464 - Step 4: Simplify right side
109,884,518,870x = 56,655,524,767,010,566,176,768 - Step 5: Solve for x
x = 56,655,524,767,010,566,176,768/109,884,518,870 - Step 6: Final answer
x = 515,591,507,790.44
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.