Finding the Third Proportional to 98,130,321,006 and 213,454,083,685
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Solution
The third proportional to 98,130,321,006 and 213,454,083,685 is: 464,307,518,560.11
Step by Step Solution
- Step 1: Write the proportion equation
98,130,321,006 : 213,454,083,685 = 213,454,083,685 : x - Step 2: Convert to fraction form
98,130,321,006/213,454,083,685 = 213,454,083,685/x - Step 3: Cross multiply
98,130,321,006x = 213,454,083,685 × 213,454,083,685 - Step 4: Simplify right side
98,130,321,006x = 45,562,645,841,802,982,064,128 - Step 5: Solve for x
x = 45,562,645,841,802,982,064,128/98,130,321,006 - Step 6: Final answer
x = 464,307,518,560.11
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.